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Finding the Fourth Proportional to 10,825.75, 16,238.70 and 3,805.75

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Solution

The fourth proportional to 10,825.75, 16,238.70 and 3,805.75 is: 5,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.75 : 16,238.70 = 3,805.75 : x
  2. Step 2: Convert to fraction form
    10,825.75/16,238.70 = 3,805.75/x
  3. Step 3: Cross multiply
    10,825.75x = 16,238.70 × 3,805.75
  4. Step 4: Simplify right side
    10,825.75x = 61,800,432.53
  5. Step 5: Solve for x
    x = 61,800,432.53/10,825.75
  6. Step 6: Final answer
    x = 5,708.65

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