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Finding the Fourth Proportional to 10,151.87, 15,227.46 and 3,577.88

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Solution

The fourth proportional to 10,151.87, 15,227.46 and 3,577.88 is: 5,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.87 : 15,227.46 = 3,577.88 : x
  2. Step 2: Convert to fraction form
    10,151.87/15,227.46 = 3,577.88/x
  3. Step 3: Cross multiply
    10,151.87x = 15,227.46 × 3,577.88
  4. Step 4: Simplify right side
    10,151.87x = 54,482,024.58
  5. Step 5: Solve for x
    x = 54,482,024.58/10,151.87
  6. Step 6: Final answer
    x = 5,366.70

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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.