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Finding the Fourth Proportional to 7,439.52, 10,266.50 and 4,082.39

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Solution

The fourth proportional to 7,439.52, 10,266.50 and 4,082.39 is: 5,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.52 : 10,266.50 = 4,082.39 : x
  2. Step 2: Convert to fraction form
    7,439.52/10,266.50 = 4,082.39/x
  3. Step 3: Cross multiply
    7,439.52x = 10,266.50 × 4,082.39
  4. Step 4: Simplify right side
    7,439.52x = 41,911,821.09
  5. Step 5: Solve for x
    x = 41,911,821.09/7,439.52
  6. Step 6: Final answer
    x = 5,633.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.