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Finding the Fourth Proportional to 10,206.63, 15,315.78 and 3,965.84

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Solution

The fourth proportional to 10,206.63, 15,315.78 and 3,965.84 is: 5,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.63 : 15,315.78 = 3,965.84 : x
  2. Step 2: Convert to fraction form
    10,206.63/15,315.78 = 3,965.84/x
  3. Step 3: Cross multiply
    10,206.63x = 15,315.78 × 3,965.84
  4. Step 4: Simplify right side
    10,206.63x = 60,739,856.38
  5. Step 5: Solve for x
    x = 60,739,856.38/10,206.63
  6. Step 6: Final answer
    x = 5,951.02

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