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Finding the Fourth Proportional to 11,624.85, 17,434.80 and 3,829.41

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Solution

The fourth proportional to 11,624.85, 17,434.80 and 3,829.41 is: 5,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.85 : 17,434.80 = 3,829.41 : x
  2. Step 2: Convert to fraction form
    11,624.85/17,434.80 = 3,829.41/x
  3. Step 3: Cross multiply
    11,624.85x = 17,434.80 × 3,829.41
  4. Step 4: Simplify right side
    11,624.85x = 66,764,997.47
  5. Step 5: Solve for x
    x = 66,764,997.47/11,624.85
  6. Step 6: Final answer
    x = 5,743.30

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