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Finding the Fourth Proportional to 6,715.28, 10,075.80 and 3,789.20

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Solution

The fourth proportional to 6,715.28, 10,075.80 and 3,789.20 is: 5,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.28 : 10,075.80 = 3,789.20 : x
  2. Step 2: Convert to fraction form
    6,715.28/10,075.80 = 3,789.20/x
  3. Step 3: Cross multiply
    6,715.28x = 10,075.80 × 3,789.20
  4. Step 4: Simplify right side
    6,715.28x = 38,179,221.36
  5. Step 5: Solve for x
    x = 38,179,221.36/6,715.28
  6. Step 6: Final answer
    x = 5,685.43

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