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Finding the Fourth Proportional to 6,802, 10,202.52 and 3,338

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Solution

The fourth proportional to 6,802, 10,202.52 and 3,338 is: 5,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802 : 10,202.52 = 3,338 : x
  2. Step 2: Convert to fraction form
    6,802/10,202.52 = 3,338/x
  3. Step 3: Cross multiply
    6,802x = 10,202.52 × 3,338
  4. Step 4: Simplify right side
    6,802x = 34,056,011.76
  5. Step 5: Solve for x
    x = 34,056,011.76/6,802
  6. Step 6: Final answer
    x = 5,006.76

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