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Finding the Fourth Proportional to 7,983.37, 11,969.84 and 3,823.25

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Solution

The fourth proportional to 7,983.37, 11,969.84 and 3,823.25 is: 5,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.37 : 11,969.84 = 3,823.25 : x
  2. Step 2: Convert to fraction form
    7,983.37/11,969.84 = 3,823.25/x
  3. Step 3: Cross multiply
    7,983.37x = 11,969.84 × 3,823.25
  4. Step 4: Simplify right side
    7,983.37x = 45,763,640.49
  5. Step 5: Solve for x
    x = 45,763,640.49/7,983.37
  6. Step 6: Final answer
    x = 5,732.37

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