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Finding the Fourth Proportional to 5,200.13, 7,800.41 and 1,911.42

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Solution

The fourth proportional to 5,200.13, 7,800.41 and 1,911.42 is: 2,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.13 : 7,800.41 = 1,911.42 : x
  2. Step 2: Convert to fraction form
    5,200.13/7,800.41 = 1,911.42/x
  3. Step 3: Cross multiply
    5,200.13x = 7,800.41 × 1,911.42
  4. Step 4: Simplify right side
    5,200.13x = 14,909,859.68
  5. Step 5: Solve for x
    x = 14,909,859.68/5,200.13
  6. Step 6: Final answer
    x = 2,867.21

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