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Finding the Fourth Proportional to 7,731.92, 11,584.92 and 4,258.64

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Solution

The fourth proportional to 7,731.92, 11,584.92 and 4,258.64 is: 6,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.92 : 11,584.92 = 4,258.64 : x
  2. Step 2: Convert to fraction form
    7,731.92/11,584.92 = 4,258.64/x
  3. Step 3: Cross multiply
    7,731.92x = 11,584.92 × 4,258.64
  4. Step 4: Simplify right side
    7,731.92x = 49,336,003.71
  5. Step 5: Solve for x
    x = 49,336,003.71/7,731.92
  6. Step 6: Final answer
    x = 6,380.82

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