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Finding the Fourth Proportional to 12,111.92, 18,164.04 and 3,902

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Solution

The fourth proportional to 12,111.92, 18,164.04 and 3,902 is: 5,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.92 : 18,164.04 = 3,902 : x
  2. Step 2: Convert to fraction form
    12,111.92/18,164.04 = 3,902/x
  3. Step 3: Cross multiply
    12,111.92x = 18,164.04 × 3,902
  4. Step 4: Simplify right side
    12,111.92x = 70,876,084.08
  5. Step 5: Solve for x
    x = 70,876,084.08/12,111.92
  6. Step 6: Final answer
    x = 5,851.76

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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.