New to fifth wheels - help with trailer weight

My truck has RGAWR of 6600, GCWR of 27,500 and a curb weight of 8,302. Per the trailer specs it has a hitch weight of 3,175 and a dry weight of 12,650. I have not yet bought the trailer so I cannot take it to a scale yet. Trying to figure out if this will be too much hitch weight for the truck. I assume that since it is a toy hauler, if loaded in the back the hitch weight would go down a bit. However, we probably would not always have the back fully loaded.