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Finding the Fourth Proportional to 11,906.53, 16,427.68 and 9,380.80

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Solution

The fourth proportional to 11,906.53, 16,427.68 and 9,380.80 is: 12,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.53 : 16,427.68 = 9,380.80 : x
  2. Step 2: Convert to fraction form
    11,906.53/16,427.68 = 9,380.80/x
  3. Step 3: Cross multiply
    11,906.53x = 16,427.68 × 9,380.80
  4. Step 4: Simplify right side
    11,906.53x = 154,104,780.54
  5. Step 5: Solve for x
    x = 154,104,780.54/11,906.53
  6. Step 6: Final answer
    x = 12,942.88

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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.