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Finding the Fourth Proportional to 11,902.92, 16,407.84 and 9,380.52

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Solution

The fourth proportional to 11,902.92, 16,407.84 and 9,380.52 is: 12,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.92 : 16,407.84 = 9,380.52 : x
  2. Step 2: Convert to fraction form
    11,902.92/16,407.84 = 9,380.52/x
  3. Step 3: Cross multiply
    11,902.92x = 16,407.84 × 9,380.52
  4. Step 4: Simplify right side
    11,902.92x = 153,914,071.28
  5. Step 5: Solve for x
    x = 153,914,071.28/11,902.92
  6. Step 6: Final answer
    x = 12,930.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.