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Finding the Fourth Proportional to 10,086.38, 15,061.57 and 8,241.14

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Solution

The fourth proportional to 10,086.38, 15,061.57 and 8,241.14 is: 12,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.38 : 15,061.57 = 8,241.14 : x
  2. Step 2: Convert to fraction form
    10,086.38/15,061.57 = 8,241.14/x
  3. Step 3: Cross multiply
    10,086.38x = 15,061.57 × 8,241.14
  4. Step 4: Simplify right side
    10,086.38x = 124,124,506.99
  5. Step 5: Solve for x
    x = 124,124,506.99/10,086.38
  6. Step 6: Final answer
    x = 12,306.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.