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Finding the Fourth Proportional to 8,542.30, 12,817.08 and 4,159.78

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Solution

The fourth proportional to 8,542.30, 12,817.08 and 4,159.78 is: 6,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.30 : 12,817.08 = 4,159.78 : x
  2. Step 2: Convert to fraction form
    8,542.30/12,817.08 = 4,159.78/x
  3. Step 3: Cross multiply
    8,542.30x = 12,817.08 × 4,159.78
  4. Step 4: Simplify right side
    8,542.30x = 53,316,233.04
  5. Step 5: Solve for x
    x = 53,316,233.04/8,542.30
  6. Step 6: Final answer
    x = 6,241.44

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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.