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Finding the Fourth Proportional to 8,161.54, 12,242.10 and 2,614.66

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Solution

The fourth proportional to 8,161.54, 12,242.10 and 2,614.66 is: 3,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.54 : 12,242.10 = 2,614.66 : x
  2. Step 2: Convert to fraction form
    8,161.54/12,242.10 = 2,614.66/x
  3. Step 3: Cross multiply
    8,161.54x = 12,242.10 × 2,614.66
  4. Step 4: Simplify right side
    8,161.54x = 32,008,929.19
  5. Step 5: Solve for x
    x = 32,008,929.19/8,161.54
  6. Step 6: Final answer
    x = 3,921.92

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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.