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Finding the Fourth Proportional to 6,838.28, 10,257.42 and 3,918.44

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Solution

The fourth proportional to 6,838.28, 10,257.42 and 3,918.44 is: 5,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.28 : 10,257.42 = 3,918.44 : x
  2. Step 2: Convert to fraction form
    6,838.28/10,257.42 = 3,918.44/x
  3. Step 3: Cross multiply
    6,838.28x = 10,257.42 × 3,918.44
  4. Step 4: Simplify right side
    6,838.28x = 40,193,084.82
  5. Step 5: Solve for x
    x = 40,193,084.82/6,838.28
  6. Step 6: Final answer
    x = 5,877.66

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