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Finding the Fourth Proportional to 7,842.24, 11,763.36 and 3,949.92

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Solution

The fourth proportional to 7,842.24, 11,763.36 and 3,949.92 is: 5,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.24 : 11,763.36 = 3,949.92 : x
  2. Step 2: Convert to fraction form
    7,842.24/11,763.36 = 3,949.92/x
  3. Step 3: Cross multiply
    7,842.24x = 11,763.36 × 3,949.92
  4. Step 4: Simplify right side
    7,842.24x = 46,464,330.93
  5. Step 5: Solve for x
    x = 46,464,330.93/7,842.24
  6. Step 6: Final answer
    x = 5,924.88

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