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Finding the Fourth Proportional to 10,834.74, 16,205.16 and 6,381.78

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Solution

The fourth proportional to 10,834.74, 16,205.16 and 6,381.78 is: 9,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.74 : 16,205.16 = 6,381.78 : x
  2. Step 2: Convert to fraction form
    10,834.74/16,205.16 = 6,381.78/x
  3. Step 3: Cross multiply
    10,834.74x = 16,205.16 × 6,381.78
  4. Step 4: Simplify right side
    10,834.74x = 103,417,765.98
  5. Step 5: Solve for x
    x = 103,417,765.98/10,834.74
  6. Step 6: Final answer
    x = 9,545.02

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