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Finding the Fourth Proportional to 10,433.70, 15,651.69 and 3,414.30

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Solution

The fourth proportional to 10,433.70, 15,651.69 and 3,414.30 is: 5,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.70 : 15,651.69 = 3,414.30 : x
  2. Step 2: Convert to fraction form
    10,433.70/15,651.69 = 3,414.30/x
  3. Step 3: Cross multiply
    10,433.70x = 15,651.69 × 3,414.30
  4. Step 4: Simplify right side
    10,433.70x = 53,439,565.17
  5. Step 5: Solve for x
    x = 53,439,565.17/10,433.70
  6. Step 6: Final answer
    x = 5,121.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.