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Finding the Fourth Proportional to 10,458.62, 15,687.82 and 2,561.17

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Solution

The fourth proportional to 10,458.62, 15,687.82 and 2,561.17 is: 3,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.62 : 15,687.82 = 2,561.17 : x
  2. Step 2: Convert to fraction form
    10,458.62/15,687.82 = 2,561.17/x
  3. Step 3: Cross multiply
    10,458.62x = 15,687.82 × 2,561.17
  4. Step 4: Simplify right side
    10,458.62x = 40,179,082.70
  5. Step 5: Solve for x
    x = 40,179,082.70/10,458.62
  6. Step 6: Final answer
    x = 3,841.72

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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.