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Finding the Fourth Proportional to 7,414.91, 10,229.03 and 4,581.26

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Solution

The fourth proportional to 7,414.91, 10,229.03 and 4,581.26 is: 6,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.91 : 10,229.03 = 4,581.26 : x
  2. Step 2: Convert to fraction form
    7,414.91/10,229.03 = 4,581.26/x
  3. Step 3: Cross multiply
    7,414.91x = 10,229.03 × 4,581.26
  4. Step 4: Simplify right side
    7,414.91x = 46,861,771.93
  5. Step 5: Solve for x
    x = 46,861,771.93/7,414.91
  6. Step 6: Final answer
    x = 6,319.94

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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.