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Finding the Fourth Proportional to 7,766.75, 11,614.33 and 5,769.20

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Solution

The fourth proportional to 7,766.75, 11,614.33 and 5,769.20 is: 8,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.75 : 11,614.33 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    7,766.75/11,614.33 = 5,769.20/x
  3. Step 3: Cross multiply
    7,766.75x = 11,614.33 × 5,769.20
  4. Step 4: Simplify right side
    7,766.75x = 67,005,392.64
  5. Step 5: Solve for x
    x = 67,005,392.64/7,766.75
  6. Step 6: Final answer
    x = 8,627.21

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