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Finding the Fourth Proportional to 10,519.74, 15,776.10 and 8,182.35

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Solution

The fourth proportional to 10,519.74, 15,776.10 and 8,182.35 is: 12,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.74 : 15,776.10 = 8,182.35 : x
  2. Step 2: Convert to fraction form
    10,519.74/15,776.10 = 8,182.35/x
  3. Step 3: Cross multiply
    10,519.74x = 15,776.10 × 8,182.35
  4. Step 4: Simplify right side
    10,519.74x = 129,085,571.84
  5. Step 5: Solve for x
    x = 129,085,571.84/10,519.74
  6. Step 6: Final answer
    x = 12,270.79

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