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Finding the Fourth Proportional to 5,311.24, 7,965.78 and 5,047.78

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Solution

The fourth proportional to 5,311.24, 7,965.78 and 5,047.78 is: 7,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.24 : 7,965.78 = 5,047.78 : x
  2. Step 2: Convert to fraction form
    5,311.24/7,965.78 = 5,047.78/x
  3. Step 3: Cross multiply
    5,311.24x = 7,965.78 × 5,047.78
  4. Step 4: Simplify right side
    5,311.24x = 40,209,504.97
  5. Step 5: Solve for x
    x = 40,209,504.97/5,311.24
  6. Step 6: Final answer
    x = 7,570.64

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