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Finding the Fourth Proportional to 7,883.43, 11,828.79 and 3,206.64

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Solution

The fourth proportional to 7,883.43, 11,828.79 and 3,206.64 is: 4,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.43 : 11,828.79 = 3,206.64 : x
  2. Step 2: Convert to fraction form
    7,883.43/11,828.79 = 3,206.64/x
  3. Step 3: Cross multiply
    7,883.43x = 11,828.79 × 3,206.64
  4. Step 4: Simplify right side
    7,883.43x = 37,930,671.17
  5. Step 5: Solve for x
    x = 37,930,671.17/7,883.43
  6. Step 6: Final answer
    x = 4,811.44

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