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Finding the Fourth Proportional to 11,702.68, 16,149.98 and 6,397.89

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Solution

The fourth proportional to 11,702.68, 16,149.98 and 6,397.89 is: 8,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.68 : 16,149.98 = 6,397.89 : x
  2. Step 2: Convert to fraction form
    11,702.68/16,149.98 = 6,397.89/x
  3. Step 3: Cross multiply
    11,702.68x = 16,149.98 × 6,397.89
  4. Step 4: Simplify right side
    11,702.68x = 103,325,750.97
  5. Step 5: Solve for x
    x = 103,325,750.97/11,702.68
  6. Step 6: Final answer
    x = 8,829.24

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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.