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Finding the Fourth Proportional to 7,414.72, 10,230.22 and 4,431.28

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Solution

The fourth proportional to 7,414.72, 10,230.22 and 4,431.28 is: 6,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.72 : 10,230.22 = 4,431.28 : x
  2. Step 2: Convert to fraction form
    7,414.72/10,230.22 = 4,431.28/x
  3. Step 3: Cross multiply
    7,414.72x = 10,230.22 × 4,431.28
  4. Step 4: Simplify right side
    7,414.72x = 45,332,969.28
  5. Step 5: Solve for x
    x = 45,332,969.28/7,414.72
  6. Step 6: Final answer
    x = 6,113.92

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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.