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Finding the Fourth Proportional to 6,823.92, 10,231.62 and 3,898.20

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Solution

The fourth proportional to 6,823.92, 10,231.62 and 3,898.20 is: 5,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.92 : 10,231.62 = 3,898.20 : x
  2. Step 2: Convert to fraction form
    6,823.92/10,231.62 = 3,898.20/x
  3. Step 3: Cross multiply
    6,823.92x = 10,231.62 × 3,898.20
  4. Step 4: Simplify right side
    6,823.92x = 39,884,901.08
  5. Step 5: Solve for x
    x = 39,884,901.08/6,823.92
  6. Step 6: Final answer
    x = 5,844.87

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