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Finding the Fourth Proportional to 6,843.28, 10,264.92 and 1,649.14

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Solution

The fourth proportional to 6,843.28, 10,264.92 and 1,649.14 is: 2,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.28 : 10,264.92 = 1,649.14 : x
  2. Step 2: Convert to fraction form
    6,843.28/10,264.92 = 1,649.14/x
  3. Step 3: Cross multiply
    6,843.28x = 10,264.92 × 1,649.14
  4. Step 4: Simplify right side
    6,843.28x = 16,928,290.17
  5. Step 5: Solve for x
    x = 16,928,290.17/6,843.28
  6. Step 6: Final answer
    x = 2,473.71

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