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Finding the Fourth Proportional to 11,702.70, 16,149.42 and 6,397.53

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Solution

The fourth proportional to 11,702.70, 16,149.42 and 6,397.53 is: 8,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.70 : 16,149.42 = 6,397.53 : x
  2. Step 2: Convert to fraction form
    11,702.70/16,149.42 = 6,397.53/x
  3. Step 3: Cross multiply
    11,702.70x = 16,149.42 × 6,397.53
  4. Step 4: Simplify right side
    11,702.70x = 103,316,398.93
  5. Step 5: Solve for x
    x = 103,316,398.93/11,702.70
  6. Step 6: Final answer
    x = 8,828.42

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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.