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Finding the Fourth Proportional to 10,857.84, 16,288.74 and 3,839.88

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Solution

The fourth proportional to 10,857.84, 16,288.74 and 3,839.88 is: 5,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.84 : 16,288.74 = 3,839.88 : x
  2. Step 2: Convert to fraction form
    10,857.84/16,288.74 = 3,839.88/x
  3. Step 3: Cross multiply
    10,857.84x = 16,288.74 × 3,839.88
  4. Step 4: Simplify right side
    10,857.84x = 62,546,806.95
  5. Step 5: Solve for x
    x = 62,546,806.95/10,857.84
  6. Step 6: Final answer
    x = 5,760.52

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