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Finding the Fourth Proportional to 5,209.92, 7,814.64 and 1,512.06

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Solution

The fourth proportional to 5,209.92, 7,814.64 and 1,512.06 is: 2,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.92 : 7,814.64 = 1,512.06 : x
  2. Step 2: Convert to fraction form
    5,209.92/7,814.64 = 1,512.06/x
  3. Step 3: Cross multiply
    5,209.92x = 7,814.64 × 1,512.06
  4. Step 4: Simplify right side
    5,209.92x = 11,816,204.56
  5. Step 5: Solve for x
    x = 11,816,204.56/5,209.92
  6. Step 6: Final answer
    x = 2,268.02

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