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Finding the Fourth Proportional to 10,205.80, 15,314.53 and 3,965.00

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Solution

The fourth proportional to 10,205.80, 15,314.53 and 3,965.00 is: 5,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.80 : 15,314.53 = 3,965.00 : x
  2. Step 2: Convert to fraction form
    10,205.80/15,314.53 = 3,965.00/x
  3. Step 3: Cross multiply
    10,205.80x = 15,314.53 × 3,965.00
  4. Step 4: Simplify right side
    10,205.80x = 60,722,107.39
  5. Step 5: Solve for x
    x = 60,722,107.39/10,205.80
  6. Step 6: Final answer
    x = 5,949.77

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