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Finding the Fourth Proportional to 6,816.80, 10,222.80 and 2,198.24

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Solution

The fourth proportional to 6,816.80, 10,222.80 and 2,198.24 is: 3,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.80 : 10,222.80 = 2,198.24 : x
  2. Step 2: Convert to fraction form
    6,816.80/10,222.80 = 2,198.24/x
  3. Step 3: Cross multiply
    6,816.80x = 10,222.80 × 2,198.24
  4. Step 4: Simplify right side
    6,816.80x = 22,472,167.87
  5. Step 5: Solve for x
    x = 22,472,167.87/6,816.80
  6. Step 6: Final answer
    x = 3,296.59

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