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Finding the Fourth Proportional to 7,178.28, 9,906.47 and 3,991.61

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Solution

The fourth proportional to 7,178.28, 9,906.47 and 3,991.61 is: 5,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.28 : 9,906.47 = 3,991.61 : x
  2. Step 2: Convert to fraction form
    7,178.28/9,906.47 = 3,991.61/x
  3. Step 3: Cross multiply
    7,178.28x = 9,906.47 × 3,991.61
  4. Step 4: Simplify right side
    7,178.28x = 39,542,695.23
  5. Step 5: Solve for x
    x = 39,542,695.23/7,178.28
  6. Step 6: Final answer
    x = 5,508.66

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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.