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Finding the Fourth Proportional to 7,178.55, 9,906.41 and 3,991.75

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Solution

The fourth proportional to 7,178.55, 9,906.41 and 3,991.75 is: 5,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.55 : 9,906.41 = 3,991.75 : x
  2. Step 2: Convert to fraction form
    7,178.55/9,906.41 = 3,991.75/x
  3. Step 3: Cross multiply
    7,178.55x = 9,906.41 × 3,991.75
  4. Step 4: Simplify right side
    7,178.55x = 39,543,912.12
  5. Step 5: Solve for x
    x = 39,543,912.12/7,178.55
  6. Step 6: Final answer
    x = 5,508.62

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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.