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Finding the Fourth Proportional to 10,642.29, 15,948.48 and 8,411.31

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Solution

The fourth proportional to 10,642.29, 15,948.48 and 8,411.31 is: 12,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.29 : 15,948.48 = 8,411.31 : x
  2. Step 2: Convert to fraction form
    10,642.29/15,948.48 = 8,411.31/x
  3. Step 3: Cross multiply
    10,642.29x = 15,948.48 × 8,411.31
  4. Step 4: Simplify right side
    10,642.29x = 134,147,593.54
  5. Step 5: Solve for x
    x = 134,147,593.54/10,642.29
  6. Step 6: Final answer
    x = 12,605.15

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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.