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Finding the Fourth Proportional to 6,823.80, 10,230.26 and 3,860.42

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Solution

The fourth proportional to 6,823.80, 10,230.26 and 3,860.42 is: 5,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.80 : 10,230.26 = 3,860.42 : x
  2. Step 2: Convert to fraction form
    6,823.80/10,230.26 = 3,860.42/x
  3. Step 3: Cross multiply
    6,823.80x = 10,230.26 × 3,860.42
  4. Step 4: Simplify right side
    6,823.80x = 39,493,029.86
  5. Step 5: Solve for x
    x = 39,493,029.86/6,823.80
  6. Step 6: Final answer
    x = 5,787.54

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