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Finding the Fourth Proportional to 6,976.38, 10,468.16 and 3,855.80

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Solution

The fourth proportional to 6,976.38, 10,468.16 and 3,855.80 is: 5,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.38 : 10,468.16 = 3,855.80 : x
  2. Step 2: Convert to fraction form
    6,976.38/10,468.16 = 3,855.80/x
  3. Step 3: Cross multiply
    6,976.38x = 10,468.16 × 3,855.80
  4. Step 4: Simplify right side
    6,976.38x = 40,363,139.12
  5. Step 5: Solve for x
    x = 40,363,139.12/6,976.38
  6. Step 6: Final answer
    x = 5,785.69

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