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Finding the Fourth Proportional to 5,614.62, 8,423.45 and 5,002.53

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Solution

The fourth proportional to 5,614.62, 8,423.45 and 5,002.53 is: 7,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.62 : 8,423.45 = 5,002.53 : x
  2. Step 2: Convert to fraction form
    5,614.62/8,423.45 = 5,002.53/x
  3. Step 3: Cross multiply
    5,614.62x = 8,423.45 × 5,002.53
  4. Step 4: Simplify right side
    5,614.62x = 42,138,536.32
  5. Step 5: Solve for x
    x = 42,138,536.32/5,614.62
  6. Step 6: Final answer
    x = 7,505.14

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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.