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Finding the Fourth Proportional to 11,702.38, 16,149.26 and 6,397.20

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Solution

The fourth proportional to 11,702.38, 16,149.26 and 6,397.20 is: 8,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.38 : 16,149.26 = 6,397.20 : x
  2. Step 2: Convert to fraction form
    11,702.38/16,149.26 = 6,397.20/x
  3. Step 3: Cross multiply
    11,702.38x = 16,149.26 × 6,397.20
  4. Step 4: Simplify right side
    11,702.38x = 103,310,046.07
  5. Step 5: Solve for x
    x = 103,310,046.07/11,702.38
  6. Step 6: Final answer
    x = 8,828.12

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Why These Related Problems?

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