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Finding the Fourth Proportional to 8,161.64, 12,244.02 and 2,614.54

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Solution

The fourth proportional to 8,161.64, 12,244.02 and 2,614.54 is: 3,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.64 : 12,244.02 = 2,614.54 : x
  2. Step 2: Convert to fraction form
    8,161.64/12,244.02 = 2,614.54/x
  3. Step 3: Cross multiply
    8,161.64x = 12,244.02 × 2,614.54
  4. Step 4: Simplify right side
    8,161.64x = 32,012,480.05
  5. Step 5: Solve for x
    x = 32,012,480.05/8,161.64
  6. Step 6: Final answer
    x = 3,922.31

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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.