^What these guys said. Likely one or more of the coils. Very common Triton motor issue, all displacements. Iโd narrow that down, replace the one(indicated bad) figure out how to check that with code reader and keep a spare one or 2 for future quick fixes.
However the bigger issue with the Triton platform is the spark plugs. And there were 2 different issues. Some will shear the threads in the head and spit out plugs (also easy to strip or shear threads off when removing them, especially now that theyโre old and corroded, anything with original crusty plugs is more likely).
Other models the plugs will rust in and stick and the plugs will snap off and stay stuck in the head.
I believe your model year and V10 is a spitter, not a sticker. And being 2004 is a 3 valve motor which has 8 threads vs the original 2 valve heads which had only 4 threads.
Regardless, both engines will spit plugs, the 2V is more likely than the 3V. And some would also randomly loosen due to mis matched mating surfaces. And others would break the spark plug (8 thread heads) resulting in a similar condition to the ones that even more commonly got stuck but not as often.
Iโve had 2V V10s spit plugs and newer v8 tritons stick plugs. Never had an issue with the 3V V10s and had a few of those too. Adjectivally they are IMO the least bad of 3-4 different bad designs. Few years ago bought a pristine 30k mile Mustang GT (a sticker not a spitter). Car never even saw rain in over 10 years until we bought it. I went after the plugs right away and it was touch and go getting over half of them out without snapping them.
If I was planning on keeping it a lot longer, Iโd first verify and fix the issue with the misfires which is 90% chance the coil packs. Then Iโd analyze whether to get those plugs out of there or not. And Iโd buy repair kit (it common enough that there are diy repair kits available forever now) and know how to use it. And use copper antiseize on ANY/ALL Triton spark plug threads. For different reasons based on what engine it is.
Also good news if it does spit one plug, itโll still run well enough to get you somewhere besides the shoulder of the road, but with the obvious consideration of it pumping out gasoline vapor 2-4000 times per minuteโฆlol.
Not sure Iโve ever seen random misfires as a defective spark plug condition in hundreds of 2 and 4 stroke engines. Fix the coils and then if you win big at the casino one night, your luck may be still good enough the next morning to get the plugs out without stripping or breaking any.
2016 Ram 2500, MotorOps.ca EFIlive tuned, 5โ turbo back, 6" lift on 37s
2017 Heartland Torque T29 - Sold.
Couple of Arctic Fox TCs - Sold