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Finding the Fourth Proportional to 7,439.70, 10,266.90 and 4,082.46

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Solution

The fourth proportional to 7,439.70, 10,266.90 and 4,082.46 is: 5,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.70 : 10,266.90 = 4,082.46 : x
  2. Step 2: Convert to fraction form
    7,439.70/10,266.90 = 4,082.46/x
  3. Step 3: Cross multiply
    7,439.70x = 10,266.90 × 4,082.46
  4. Step 4: Simplify right side
    7,439.70x = 41,914,208.57
  5. Step 5: Solve for x
    x = 41,914,208.57/7,439.70
  6. Step 6: Final answer
    x = 5,633.86

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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.