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Finding the Fourth Proportional to 6,824.64, 10,236.64 and 2,665.41

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Solution

The fourth proportional to 6,824.64, 10,236.64 and 2,665.41 is: 3,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.64 : 10,236.64 = 2,665.41 : x
  2. Step 2: Convert to fraction form
    6,824.64/10,236.64 = 2,665.41/x
  3. Step 3: Cross multiply
    6,824.64x = 10,236.64 × 2,665.41
  4. Step 4: Simplify right side
    6,824.64x = 27,284,842.62
  5. Step 5: Solve for x
    x = 27,284,842.62/6,824.64
  6. Step 6: Final answer
    x = 3,997.99

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