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Finding the Fourth Proportional to 10,757.65, 16,138.01 and 5,206.43

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Solution

The fourth proportional to 10,757.65, 16,138.01 and 5,206.43 is: 7,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.65 : 16,138.01 = 5,206.43 : x
  2. Step 2: Convert to fraction form
    10,757.65/16,138.01 = 5,206.43/x
  3. Step 3: Cross multiply
    10,757.65x = 16,138.01 × 5,206.43
  4. Step 4: Simplify right side
    10,757.65x = 84,021,367.35
  5. Step 5: Solve for x
    x = 84,021,367.35/10,757.65
  6. Step 6: Final answer
    x = 7,810.38

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