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Finding the Fourth Proportional to 11,937.97, 16,469.49 and 7,688.31

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Solution

The fourth proportional to 11,937.97, 16,469.49 and 7,688.31 is: 10,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.97 : 16,469.49 = 7,688.31 : x
  2. Step 2: Convert to fraction form
    11,937.97/16,469.49 = 7,688.31/x
  3. Step 3: Cross multiply
    11,937.97x = 16,469.49 × 7,688.31
  4. Step 4: Simplify right side
    11,937.97x = 126,622,544.66
  5. Step 5: Solve for x
    x = 126,622,544.66/11,937.97
  6. Step 6: Final answer
    x = 10,606.71

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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.