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Finding the Fourth Proportional to 8,434.76, 12,654.30 and 3,241.04

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Solution

The fourth proportional to 8,434.76, 12,654.30 and 3,241.04 is: 4,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.76 : 12,654.30 = 3,241.04 : x
  2. Step 2: Convert to fraction form
    8,434.76/12,654.30 = 3,241.04/x
  3. Step 3: Cross multiply
    8,434.76x = 12,654.30 × 3,241.04
  4. Step 4: Simplify right side
    8,434.76x = 41,013,092.47
  5. Step 5: Solve for x
    x = 41,013,092.47/8,434.76
  6. Step 6: Final answer
    x = 4,862.39

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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.