Add Four-Digit Numbers: 8472 + 5261 Using Column Method

$\begin{aligned} &8472\\ +& \\ &5261 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll follow these steps:

• Step 1: Align the numbers by their place values.
• Step 2: Add the digits starting from the rightmost column.
• Step 3: Handle any carryovers properly.
• Step 4: Write down the final result.

Now, let's work through each step:

Step 1: Align the numbers:

$8472$
$+ 5261$
$\_\_\_\_\_\_\_\_\_$

Step 2: Begin adding the digits starting from the rightmost side:

Units column: $2 + 1 = 3$.

Tens column: $7 + 6 = 13$. Write $3$ and carry over $1$.

Hundreds column: $4 + 2 + 1 \,(carry) = 7$.

Thousands column: $8 + 5 = 13$. Write $3$ and carry over $1$.

Step 3: Handle the extra thousands place from the carryover: $1$.

Thus, the full addition with carryovers corrected is:

$8472$
$+ 5261$
$\_\_\_\_\_\_\_\_=\_13733$

Therefore, the correct solution to the problem is $13733$.