I am tryijng to sum the largest 4 values in a column of cells.

I used:
SUM(LARGE(A1:A10,{1,2,3,4}))
which seems to work fine in general,
however, if any of the top 4 largest values is the same, then it
yeilds an incorrect sum.

How can I overcome this failure? I need to include duplicate values in
my sum.