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Finding the Fourth Proportional to 7,982.94, 11,982.78 and 3,826.47

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Solution

The fourth proportional to 7,982.94, 11,982.78 and 3,826.47 is: 5,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.94 : 11,982.78 = 3,826.47 : x
  2. Step 2: Convert to fraction form
    7,982.94/11,982.78 = 3,826.47/x
  3. Step 3: Cross multiply
    7,982.94x = 11,982.78 × 3,826.47
  4. Step 4: Simplify right side
    7,982.94x = 45,851,748.19
  5. Step 5: Solve for x
    x = 45,851,748.19/7,982.94
  6. Step 6: Final answer
    x = 5,743.72

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