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Finding the Fourth Proportional to 7,882.54, 11,822.10 and 3,201.34

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Solution

The fourth proportional to 7,882.54, 11,822.10 and 3,201.34 is: 4,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.54 : 11,822.10 = 3,201.34 : x
  2. Step 2: Convert to fraction form
    7,882.54/11,822.10 = 3,201.34/x
  3. Step 3: Cross multiply
    7,882.54x = 11,822.10 × 3,201.34
  4. Step 4: Simplify right side
    7,882.54x = 37,846,510.35
  5. Step 5: Solve for x
    x = 37,846,510.35/7,882.54
  6. Step 6: Final answer
    x = 4,801.31

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