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Finding the Fourth Proportional to 8,681.97, 13,022.96 and 2,108.15

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Solution

The fourth proportional to 8,681.97, 13,022.96 and 2,108.15 is: 3,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.97 : 13,022.96 = 2,108.15 : x
  2. Step 2: Convert to fraction form
    8,681.97/13,022.96 = 2,108.15/x
  3. Step 3: Cross multiply
    8,681.97x = 13,022.96 × 2,108.15
  4. Step 4: Simplify right side
    8,681.97x = 27,454,277.47
  5. Step 5: Solve for x
    x = 27,454,277.47/8,681.97
  6. Step 6: Final answer
    x = 3,162.22

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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.