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Finding the Fourth Proportional to 10,154.38, 15,231.42 and 2,759

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Solution

The fourth proportional to 10,154.38, 15,231.42 and 2,759 is: 4,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.38 : 15,231.42 = 2,759 : x
  2. Step 2: Convert to fraction form
    10,154.38/15,231.42 = 2,759/x
  3. Step 3: Cross multiply
    10,154.38x = 15,231.42 × 2,759
  4. Step 4: Simplify right side
    10,154.38x = 42,023,487.78
  5. Step 5: Solve for x
    x = 42,023,487.78/10,154.38
  6. Step 6: Final answer
    x = 4,138.46

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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.