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Finding the Fourth Proportional to 6,865.88, 10,297.20 and 3,165.80

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Solution

The fourth proportional to 6,865.88, 10,297.20 and 3,165.80 is: 4,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.88 : 10,297.20 = 3,165.80 : x
  2. Step 2: Convert to fraction form
    6,865.88/10,297.20 = 3,165.80/x
  3. Step 3: Cross multiply
    6,865.88x = 10,297.20 × 3,165.80
  4. Step 4: Simplify right side
    6,865.88x = 32,598,875.76
  5. Step 5: Solve for x
    x = 32,598,875.76/6,865.88
  6. Step 6: Final answer
    x = 4,747.95

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