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Finding the Fourth Proportional to 6,782.28, 10,174.95 and 3,662.22

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Solution

The fourth proportional to 6,782.28, 10,174.95 and 3,662.22 is: 5,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.28 : 10,174.95 = 3,662.22 : x
  2. Step 2: Convert to fraction form
    6,782.28/10,174.95 = 3,662.22/x
  3. Step 3: Cross multiply
    6,782.28x = 10,174.95 × 3,662.22
  4. Step 4: Simplify right side
    6,782.28x = 37,262,905.39
  5. Step 5: Solve for x
    x = 37,262,905.39/6,782.28
  6. Step 6: Final answer
    x = 5,494.16

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