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Finding the Fourth Proportional to 7,414.81, 10,232.87 and 4,229.08

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Solution

The fourth proportional to 7,414.81, 10,232.87 and 4,229.08 is: 5,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.81 : 10,232.87 = 4,229.08 : x
  2. Step 2: Convert to fraction form
    7,414.81/10,232.87 = 4,229.08/x
  3. Step 3: Cross multiply
    7,414.81x = 10,232.87 × 4,229.08
  4. Step 4: Simplify right side
    7,414.81x = 43,275,579.13
  5. Step 5: Solve for x
    x = 43,275,579.13/7,414.81
  6. Step 6: Final answer
    x = 5,836.37

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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.