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Finding the Fourth Proportional to 10,767.46, 16,143.27 and 3,367.78

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Solution

The fourth proportional to 10,767.46, 16,143.27 and 3,367.78 is: 5,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.46 : 16,143.27 = 3,367.78 : x
  2. Step 2: Convert to fraction form
    10,767.46/16,143.27 = 3,367.78/x
  3. Step 3: Cross multiply
    10,767.46x = 16,143.27 × 3,367.78
  4. Step 4: Simplify right side
    10,767.46x = 54,366,981.84
  5. Step 5: Solve for x
    x = 54,366,981.84/10,767.46
  6. Step 6: Final answer
    x = 5,049.19

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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.