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Finding the Fourth Proportional to 7,439.49, 10,266.49 and 4,082.33

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Solution

The fourth proportional to 7,439.49, 10,266.49 and 4,082.33 is: 5,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.49 : 10,266.49 = 4,082.33 : x
  2. Step 2: Convert to fraction form
    7,439.49/10,266.49 = 4,082.33/x
  3. Step 3: Cross multiply
    7,439.49x = 10,266.49 × 4,082.33
  4. Step 4: Simplify right side
    7,439.49x = 41,911,200.12
  5. Step 5: Solve for x
    x = 41,911,200.12/7,439.49
  6. Step 6: Final answer
    x = 5,633.61

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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.