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Finding the Fourth Proportional to 6,824.80, 10,237.20 and 5,096.80

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Solution

The fourth proportional to 6,824.80, 10,237.20 and 5,096.80 is: 7,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.80 : 10,237.20 = 5,096.80 : x
  2. Step 2: Convert to fraction form
    6,824.80/10,237.20 = 5,096.80/x
  3. Step 3: Cross multiply
    6,824.80x = 10,237.20 × 5,096.80
  4. Step 4: Simplify right side
    6,824.80x = 52,176,960.96
  5. Step 5: Solve for x
    x = 52,176,960.96/6,824.80
  6. Step 6: Final answer
    x = 7,645.20

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