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Finding the Fourth Proportional to 11,702.46, 16,149.36 and 6,397.28

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Solution

The fourth proportional to 11,702.46, 16,149.36 and 6,397.28 is: 8,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.46 : 16,149.36 = 6,397.28 : x
  2. Step 2: Convert to fraction form
    11,702.46/16,149.36 = 6,397.28/x
  3. Step 3: Cross multiply
    11,702.46x = 16,149.36 × 6,397.28
  4. Step 4: Simplify right side
    11,702.46x = 103,311,972.55
  5. Step 5: Solve for x
    x = 103,311,972.55/11,702.46
  6. Step 6: Final answer
    x = 8,828.23

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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.