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Finding the Fourth Proportional to 8,107.97, 12,146.42 and 7,160.27

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Solution

The fourth proportional to 8,107.97, 12,146.42 and 7,160.27 is: 10,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.97 : 12,146.42 = 7,160.27 : x
  2. Step 2: Convert to fraction form
    8,107.97/12,146.42 = 7,160.27/x
  3. Step 3: Cross multiply
    8,107.97x = 12,146.42 × 7,160.27
  4. Step 4: Simplify right side
    8,107.97x = 86,971,603.90
  5. Step 5: Solve for x
    x = 86,971,603.90/8,107.97
  6. Step 6: Final answer
    x = 10,726.69

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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.