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Finding the Fourth Proportional to 11,702.40, 16,148.82 and 6,397.29

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Solution

The fourth proportional to 11,702.40, 16,148.82 and 6,397.29 is: 8,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.40 : 16,148.82 = 6,397.29 : x
  2. Step 2: Convert to fraction form
    11,702.40/16,148.82 = 6,397.29/x
  3. Step 3: Cross multiply
    11,702.40x = 16,148.82 × 6,397.29
  4. Step 4: Simplify right side
    11,702.40x = 103,308,684.70
  5. Step 5: Solve for x
    x = 103,308,684.70/11,702.40
  6. Step 6: Final answer
    x = 8,827.99

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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.