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Finding the Fourth Proportional to 11,942.52, 16,482.84 and 6,906.12

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Solution

The fourth proportional to 11,942.52, 16,482.84 and 6,906.12 is: 9,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.52 : 16,482.84 = 6,906.12 : x
  2. Step 2: Convert to fraction form
    11,942.52/16,482.84 = 6,906.12/x
  3. Step 3: Cross multiply
    11,942.52x = 16,482.84 × 6,906.12
  4. Step 4: Simplify right side
    11,942.52x = 113,832,470.98
  5. Step 5: Solve for x
    x = 113,832,470.98/11,942.52
  6. Step 6: Final answer
    x = 9,531.70

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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.