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Finding the Fourth Proportional to 8,241.57, 12,363.92 and 3,311.60

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Solution

The fourth proportional to 8,241.57, 12,363.92 and 3,311.60 is: 4,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.57 : 12,363.92 = 3,311.60 : x
  2. Step 2: Convert to fraction form
    8,241.57/12,363.92 = 3,311.60/x
  3. Step 3: Cross multiply
    8,241.57x = 12,363.92 × 3,311.60
  4. Step 4: Simplify right side
    8,241.57x = 40,944,279.09
  5. Step 5: Solve for x
    x = 40,944,279.09/8,241.57
  6. Step 6: Final answer
    x = 4,968.02

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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.