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Finding the Fourth Proportional to 8,191.29, 12,286.03 and 2,925.17

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Solution

The fourth proportional to 8,191.29, 12,286.03 and 2,925.17 is: 4,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.29 : 12,286.03 = 2,925.17 : x
  2. Step 2: Convert to fraction form
    8,191.29/12,286.03 = 2,925.17/x
  3. Step 3: Cross multiply
    8,191.29x = 12,286.03 × 2,925.17
  4. Step 4: Simplify right side
    8,191.29x = 35,938,726.38
  5. Step 5: Solve for x
    x = 35,938,726.38/8,191.29
  6. Step 6: Final answer
    x = 4,387.43

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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.