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Finding the Fourth Proportional to 10,313.36, 15,477.82 and 7,547.18

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Solution

The fourth proportional to 10,313.36, 15,477.82 and 7,547.18 is: 11,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.36 : 15,477.82 = 7,547.18 : x
  2. Step 2: Convert to fraction form
    10,313.36/15,477.82 = 7,547.18/x
  3. Step 3: Cross multiply
    10,313.36x = 15,477.82 × 7,547.18
  4. Step 4: Simplify right side
    10,313.36x = 116,813,797.29
  5. Step 5: Solve for x
    x = 116,813,797.29/10,313.36
  6. Step 6: Final answer
    x = 11,326.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.