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Finding the Fourth Proportional to 8,614.62, 12,920.31 and 2,771.28

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Solution

The fourth proportional to 8,614.62, 12,920.31 and 2,771.28 is: 4,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.62 : 12,920.31 = 2,771.28 : x
  2. Step 2: Convert to fraction form
    8,614.62/12,920.31 = 2,771.28/x
  3. Step 3: Cross multiply
    8,614.62x = 12,920.31 × 2,771.28
  4. Step 4: Simplify right side
    8,614.62x = 35,805,796.70
  5. Step 5: Solve for x
    x = 35,805,796.70/8,614.62
  6. Step 6: Final answer
    x = 4,156.40

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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.