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Finding the Fourth Proportional to 11,976.27, 16,527.25 and 6,943.41

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Solution

The fourth proportional to 11,976.27, 16,527.25 and 6,943.41 is: 9,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.27 : 16,527.25 = 6,943.41 : x
  2. Step 2: Convert to fraction form
    11,976.27/16,527.25 = 6,943.41/x
  3. Step 3: Cross multiply
    11,976.27x = 16,527.25 × 6,943.41
  4. Step 4: Simplify right side
    11,976.27x = 114,755,472.92
  5. Step 5: Solve for x
    x = 114,755,472.92/11,976.27
  6. Step 6: Final answer
    x = 9,581.90

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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.