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Finding the Fourth Proportional to 10,371.65, 15,537.42 and 6,411.29

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Solution

The fourth proportional to 10,371.65, 15,537.42 and 6,411.29 is: 9,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.65 : 15,537.42 = 6,411.29 : x
  2. Step 2: Convert to fraction form
    10,371.65/15,537.42 = 6,411.29/x
  3. Step 3: Cross multiply
    10,371.65x = 15,537.42 × 6,411.29
  4. Step 4: Simplify right side
    10,371.65x = 99,614,827.78
  5. Step 5: Solve for x
    x = 99,614,827.78/10,371.65
  6. Step 6: Final answer
    x = 9,604.54

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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.