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Finding the Fourth Proportional to 10,823.92, 16,230.12 and 6,383.44

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Solution

The fourth proportional to 10,823.92, 16,230.12 and 6,383.44 is: 9,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.92 : 16,230.12 = 6,383.44 : x
  2. Step 2: Convert to fraction form
    10,823.92/16,230.12 = 6,383.44/x
  3. Step 3: Cross multiply
    10,823.92x = 16,230.12 × 6,383.44
  4. Step 4: Simplify right side
    10,823.92x = 103,603,997.21
  5. Step 5: Solve for x
    x = 103,603,997.21/10,823.92
  6. Step 6: Final answer
    x = 9,571.76

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