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Finding the Fourth Proportional to 5,202.16, 7,784.70 and 4,168.80

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Solution

The fourth proportional to 5,202.16, 7,784.70 and 4,168.80 is: 6,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.16 : 7,784.70 = 4,168.80 : x
  2. Step 2: Convert to fraction form
    5,202.16/7,784.70 = 4,168.80/x
  3. Step 3: Cross multiply
    5,202.16x = 7,784.70 × 4,168.80
  4. Step 4: Simplify right side
    5,202.16x = 32,452,857.36
  5. Step 5: Solve for x
    x = 32,452,857.36/5,202.16
  6. Step 6: Final answer
    x = 6,238.34

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