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Finding the Fourth Proportional to 7,865.68, 11,791.64 and 3,182.80

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Solution

The fourth proportional to 7,865.68, 11,791.64 and 3,182.80 is: 4,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.68 : 11,791.64 = 3,182.80 : x
  2. Step 2: Convert to fraction form
    7,865.68/11,791.64 = 3,182.80/x
  3. Step 3: Cross multiply
    7,865.68x = 11,791.64 × 3,182.80
  4. Step 4: Simplify right side
    7,865.68x = 37,530,431.79
  5. Step 5: Solve for x
    x = 37,530,431.79/7,865.68
  6. Step 6: Final answer
    x = 4,771.42

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