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Finding the Fourth Proportional to 10,865.52, 14,995.16 and 6,149.80

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Solution

The fourth proportional to 10,865.52, 14,995.16 and 6,149.80 is: 8,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.52 : 14,995.16 = 6,149.80 : x
  2. Step 2: Convert to fraction form
    10,865.52/14,995.16 = 6,149.80/x
  3. Step 3: Cross multiply
    10,865.52x = 14,995.16 × 6,149.80
  4. Step 4: Simplify right side
    10,865.52x = 92,217,234.97
  5. Step 5: Solve for x
    x = 92,217,234.97/10,865.52
  6. Step 6: Final answer
    x = 8,487.14

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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.