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Finding the Fourth Proportional to 8,311.47, 11,469.18 and 4,534.43

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Solution

The fourth proportional to 8,311.47, 11,469.18 and 4,534.43 is: 6,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.47 : 11,469.18 = 4,534.43 : x
  2. Step 2: Convert to fraction form
    8,311.47/11,469.18 = 4,534.43/x
  3. Step 3: Cross multiply
    8,311.47x = 11,469.18 × 4,534.43
  4. Step 4: Simplify right side
    8,311.47x = 52,006,136.52
  5. Step 5: Solve for x
    x = 52,006,136.52/8,311.47
  6. Step 6: Final answer
    x = 6,257.15

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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.