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Finding the Fourth Proportional to 8,691.97, 13,037.81 and 2,118.14

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Solution

The fourth proportional to 8,691.97, 13,037.81 and 2,118.14 is: 3,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.97 : 13,037.81 = 2,118.14 : x
  2. Step 2: Convert to fraction form
    8,691.97/13,037.81 = 2,118.14/x
  3. Step 3: Cross multiply
    8,691.97x = 13,037.81 × 2,118.14
  4. Step 4: Simplify right side
    8,691.97x = 27,615,906.87
  5. Step 5: Solve for x
    x = 27,615,906.87/8,691.97
  6. Step 6: Final answer
    x = 3,177.17

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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.