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Finding the Fourth Proportional to 7,842.64, 11,764.24 and 3,944.92

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Solution

The fourth proportional to 7,842.64, 11,764.24 and 3,944.92 is: 5,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.64 : 11,764.24 = 3,944.92 : x
  2. Step 2: Convert to fraction form
    7,842.64/11,764.24 = 3,944.92/x
  3. Step 3: Cross multiply
    7,842.64x = 11,764.24 × 3,944.92
  4. Step 4: Simplify right side
    7,842.64x = 46,408,985.66
  5. Step 5: Solve for x
    x = 46,408,985.66/7,842.64
  6. Step 6: Final answer
    x = 5,917.52

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