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Finding the Fourth Proportional to 10,006.92, 15,012.54 and 4,167.90

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Solution

The fourth proportional to 10,006.92, 15,012.54 and 4,167.90 is: 6,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.92 : 15,012.54 = 4,167.90 : x
  2. Step 2: Convert to fraction form
    10,006.92/15,012.54 = 4,167.90/x
  3. Step 3: Cross multiply
    10,006.92x = 15,012.54 × 4,167.90
  4. Step 4: Simplify right side
    10,006.92x = 62,570,765.47
  5. Step 5: Solve for x
    x = 62,570,765.47/10,006.92
  6. Step 6: Final answer
    x = 6,252.75

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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.