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Finding the Fourth Proportional to 7,760.52, 11,640.96 and 2,566.80

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Solution

The fourth proportional to 7,760.52, 11,640.96 and 2,566.80 is: 3,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.52 : 11,640.96 = 2,566.80 : x
  2. Step 2: Convert to fraction form
    7,760.52/11,640.96 = 2,566.80/x
  3. Step 3: Cross multiply
    7,760.52x = 11,640.96 × 2,566.80
  4. Step 4: Simplify right side
    7,760.52x = 29,880,016.13
  5. Step 5: Solve for x
    x = 29,880,016.13/7,760.52
  6. Step 6: Final answer
    x = 3,850.26

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