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Finding the Fourth Proportional to 6,857.96, 10,284.87 and 2,177.78

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Solution

The fourth proportional to 6,857.96, 10,284.87 and 2,177.78 is: 3,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.96 : 10,284.87 = 2,177.78 : x
  2. Step 2: Convert to fraction form
    6,857.96/10,284.87 = 2,177.78/x
  3. Step 3: Cross multiply
    6,857.96x = 10,284.87 × 2,177.78
  4. Step 4: Simplify right side
    6,857.96x = 22,398,184.19
  5. Step 5: Solve for x
    x = 22,398,184.19/6,857.96
  6. Step 6: Final answer
    x = 3,266.01

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