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Finding the Fourth Proportional to 8,161.10, 12,241.46 and 2,614.43

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Solution

The fourth proportional to 8,161.10, 12,241.46 and 2,614.43 is: 3,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.10 : 12,241.46 = 2,614.43 : x
  2. Step 2: Convert to fraction form
    8,161.10/12,241.46 = 2,614.43/x
  3. Step 3: Cross multiply
    8,161.10x = 12,241.46 × 2,614.43
  4. Step 4: Simplify right side
    8,161.10x = 32,004,408.55
  5. Step 5: Solve for x
    x = 32,004,408.55/8,161.10
  6. Step 6: Final answer
    x = 3,921.58

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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.