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Finding the Fourth Proportional to 10,769.84, 16,149.72 and 6,387.92

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Solution

The fourth proportional to 10,769.84, 16,149.72 and 6,387.92 is: 9,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.84 : 16,149.72 = 6,387.92 : x
  2. Step 2: Convert to fraction form
    10,769.84/16,149.72 = 6,387.92/x
  3. Step 3: Cross multiply
    10,769.84x = 16,149.72 × 6,387.92
  4. Step 4: Simplify right side
    10,769.84x = 103,163,119.38
  5. Step 5: Solve for x
    x = 103,163,119.38/10,769.84
  6. Step 6: Final answer
    x = 9,578.89

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