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Finding the Fourth Proportional to 8,472.24, 12,711.84 and 5,185.44

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Solution

The fourth proportional to 8,472.24, 12,711.84 and 5,185.44 is: 7,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.24 : 12,711.84 = 5,185.44 : x
  2. Step 2: Convert to fraction form
    8,472.24/12,711.84 = 5,185.44/x
  3. Step 3: Cross multiply
    8,472.24x = 12,711.84 × 5,185.44
  4. Step 4: Simplify right side
    8,472.24x = 65,916,483.61
  5. Step 5: Solve for x
    x = 65,916,483.61/8,472.24
  6. Step 6: Final answer
    x = 7,780.29

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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.