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Finding the Fourth Proportional to 10,167.78, 15,251.12 and 2,772.20

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Solution

The fourth proportional to 10,167.78, 15,251.12 and 2,772.20 is: 4,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.78 : 15,251.12 = 2,772.20 : x
  2. Step 2: Convert to fraction form
    10,167.78/15,251.12 = 2,772.20/x
  3. Step 3: Cross multiply
    10,167.78x = 15,251.12 × 2,772.20
  4. Step 4: Simplify right side
    10,167.78x = 42,279,154.86
  5. Step 5: Solve for x
    x = 42,279,154.86/10,167.78
  6. Step 6: Final answer
    x = 4,158.15

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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.