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Finding the Fourth Proportional to 10,702.27, 16,022.17 and 6,246.28

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Solution

The fourth proportional to 10,702.27, 16,022.17 and 6,246.28 is: 9,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.27 : 16,022.17 = 6,246.28 : x
  2. Step 2: Convert to fraction form
    10,702.27/16,022.17 = 6,246.28/x
  3. Step 3: Cross multiply
    10,702.27x = 16,022.17 × 6,246.28
  4. Step 4: Simplify right side
    10,702.27x = 100,078,960.03
  5. Step 5: Solve for x
    x = 100,078,960.03/10,702.27
  6. Step 6: Final answer
    x = 9,351.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.