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Finding the Fourth Proportional to 7,414.74, 10,229.09 and 4,429.08

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Solution

The fourth proportional to 7,414.74, 10,229.09 and 4,429.08 is: 6,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.74 : 10,229.09 = 4,429.08 : x
  2. Step 2: Convert to fraction form
    7,414.74/10,229.09 = 4,429.08/x
  3. Step 3: Cross multiply
    7,414.74x = 10,229.09 × 4,429.08
  4. Step 4: Simplify right side
    7,414.74x = 45,305,435.79
  5. Step 5: Solve for x
    x = 45,305,435.79/7,414.74
  6. Step 6: Final answer
    x = 6,110.19

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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.