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Finding the Fourth Proportional to 7,769.16, 11,643.84 and 3,385.44

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Solution

The fourth proportional to 7,769.16, 11,643.84 and 3,385.44 is: 5,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.16 : 11,643.84 = 3,385.44 : x
  2. Step 2: Convert to fraction form
    7,769.16/11,643.84 = 3,385.44/x
  3. Step 3: Cross multiply
    7,769.16x = 11,643.84 × 3,385.44
  4. Step 4: Simplify right side
    7,769.16x = 39,419,521.69
  5. Step 5: Solve for x
    x = 39,419,521.69/7,769.16
  6. Step 6: Final answer
    x = 5,073.85

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