4. (7 Points) 0.10 M potassium chromate is slowly added to a solution containing 0.10 M $AgNO_3$ and 0.10 M $Ba(NO_3)_2$. What is the $Ag^+$ concentration when $BaCrO_4$ just starts to precipitate? The $K_{sp}$ for $Ag_2CrO_4$ and $BaCrO_4$ are $1.1 \times 10^{-12}$ and $1.2 \times 10^{-10}$, respectively.