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Finding the Fourth Proportional to 11,942.97, 16,476.39 and 7,693.31

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Solution

The fourth proportional to 11,942.97, 16,476.39 and 7,693.31 is: 10,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.97 : 16,476.39 = 7,693.31 : x
  2. Step 2: Convert to fraction form
    11,942.97/16,476.39 = 7,693.31/x
  3. Step 3: Cross multiply
    11,942.97x = 16,476.39 × 7,693.31
  4. Step 4: Simplify right side
    11,942.97x = 126,757,893.57
  5. Step 5: Solve for x
    x = 126,757,893.57/11,942.97
  6. Step 6: Final answer
    x = 10,613.60

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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.