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Finding the Fourth Proportional to 10,329.62, 14,254.80 and 5,613.90

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Solution

The fourth proportional to 10,329.62, 14,254.80 and 5,613.90 is: 7,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.62 : 14,254.80 = 5,613.90 : x
  2. Step 2: Convert to fraction form
    10,329.62/14,254.80 = 5,613.90/x
  3. Step 3: Cross multiply
    10,329.62x = 14,254.80 × 5,613.90
  4. Step 4: Simplify right side
    10,329.62x = 80,024,978.79
  5. Step 5: Solve for x
    x = 80,024,978.79/10,329.62
  6. Step 6: Final answer
    x = 7,747.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.