To expand a little more... with fifth wheels, it's not your max towing capacity that is of concern - it's the payload of the truck after it's full of fuel, has the hitch installed, and has all occupants and "stuff" in it. Forget the dry weight of the trailer. Look at the GVWR on the trailer sticker and calculate 23% of that to estimate loaded pin weight for the fifth wheel. The loaded pin weight of that trailer will likely be around 2,000 lbs. I doubt a 2010 F150 supercab 4x4 has that kind of payload left over.
Rob