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Finding the Fourth Proportional to 10,838.90, 16,247.27 and 6,149

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Solution

The fourth proportional to 10,838.90, 16,247.27 and 6,149 is: 9,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.90 : 16,247.27 = 6,149 : x
  2. Step 2: Convert to fraction form
    10,838.90/16,247.27 = 6,149/x
  3. Step 3: Cross multiply
    10,838.90x = 16,247.27 × 6,149
  4. Step 4: Simplify right side
    10,838.90x = 99,904,432.49
  5. Step 5: Solve for x
    x = 99,904,432.49/10,838.90
  6. Step 6: Final answer
    x = 9,217.21

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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.