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Finding the Fourth Proportional to 11,942.46, 16,476.01 and 7,693.19

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Solution

The fourth proportional to 11,942.46, 16,476.01 and 7,693.19 is: 10,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.46 : 16,476.01 = 7,693.19 : x
  2. Step 2: Convert to fraction form
    11,942.46/16,476.01 = 7,693.19/x
  3. Step 3: Cross multiply
    11,942.46x = 16,476.01 × 7,693.19
  4. Step 4: Simplify right side
    11,942.46x = 126,753,097.33
  5. Step 5: Solve for x
    x = 126,753,097.33/11,942.46
  6. Step 6: Final answer
    x = 10,613.65

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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.