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Finding the Fourth Proportional to 10,974.42, 16,462.17 and 3,183.84

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Solution

The fourth proportional to 10,974.42, 16,462.17 and 3,183.84 is: 4,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.42 : 16,462.17 = 3,183.84 : x
  2. Step 2: Convert to fraction form
    10,974.42/16,462.17 = 3,183.84/x
  3. Step 3: Cross multiply
    10,974.42x = 16,462.17 × 3,183.84
  4. Step 4: Simplify right side
    10,974.42x = 52,412,915.33
  5. Step 5: Solve for x
    x = 52,412,915.33/10,974.42
  6. Step 6: Final answer
    x = 4,775.92

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