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Finding the Fourth Proportional to 7,082.41, 10,618.82 and 3,964.56

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Solution

The fourth proportional to 7,082.41, 10,618.82 and 3,964.56 is: 5,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.41 : 10,618.82 = 3,964.56 : x
  2. Step 2: Convert to fraction form
    7,082.41/10,618.82 = 3,964.56/x
  3. Step 3: Cross multiply
    7,082.41x = 10,618.82 × 3,964.56
  4. Step 4: Simplify right side
    7,082.41x = 42,098,972.73
  5. Step 5: Solve for x
    x = 42,098,972.73/7,082.41
  6. Step 6: Final answer
    x = 5,944.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.