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Finding the Fourth Proportional to 7,823.64, 11,735.64 and 3,144.12

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Solution

The fourth proportional to 7,823.64, 11,735.64 and 3,144.12 is: 4,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.64 : 11,735.64 = 3,144.12 : x
  2. Step 2: Convert to fraction form
    7,823.64/11,735.64 = 3,144.12/x
  3. Step 3: Cross multiply
    7,823.64x = 11,735.64 × 3,144.12
  4. Step 4: Simplify right side
    7,823.64x = 36,898,260.44
  5. Step 5: Solve for x
    x = 36,898,260.44/7,823.64
  6. Step 6: Final answer
    x = 4,716.25

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