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Finding the Fourth Proportional to 7,439.78, 10,266.86 and 4,082.50

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Solution

The fourth proportional to 7,439.78, 10,266.86 and 4,082.50 is: 5,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.78 : 10,266.86 = 4,082.50 : x
  2. Step 2: Convert to fraction form
    7,439.78/10,266.86 = 4,082.50/x
  3. Step 3: Cross multiply
    7,439.78x = 10,266.86 × 4,082.50
  4. Step 4: Simplify right side
    7,439.78x = 41,914,455.95
  5. Step 5: Solve for x
    x = 41,914,455.95/7,439.78
  6. Step 6: Final answer
    x = 5,633.83

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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.