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Finding the Fourth Proportional to 6,857.88, 10,272.46 and 5,685.10

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Solution

The fourth proportional to 6,857.88, 10,272.46 and 5,685.10 is: 8,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.88 : 10,272.46 = 5,685.10 : x
  2. Step 2: Convert to fraction form
    6,857.88/10,272.46 = 5,685.10/x
  3. Step 3: Cross multiply
    6,857.88x = 10,272.46 × 5,685.10
  4. Step 4: Simplify right side
    6,857.88x = 58,399,962.35
  5. Step 5: Solve for x
    x = 58,399,962.35/6,857.88
  6. Step 6: Final answer
    x = 8,515.75

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