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Finding the Fourth Proportional to 6,815.80, 10,223.70 and 3,743.80

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Solution

The fourth proportional to 6,815.80, 10,223.70 and 3,743.80 is: 5,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.80 : 10,223.70 = 3,743.80 : x
  2. Step 2: Convert to fraction form
    6,815.80/10,223.70 = 3,743.80/x
  3. Step 3: Cross multiply
    6,815.80x = 10,223.70 × 3,743.80
  4. Step 4: Simplify right side
    6,815.80x = 38,275,488.06
  5. Step 5: Solve for x
    x = 38,275,488.06/6,815.80
  6. Step 6: Final answer
    x = 5,615.70

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