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Finding the Fourth Proportional to 11,802, 16,288.20 and 6,834

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Solution

The fourth proportional to 11,802, 16,288.20 and 6,834 is: 9,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802 : 16,288.20 = 6,834 : x
  2. Step 2: Convert to fraction form
    11,802/16,288.20 = 6,834/x
  3. Step 3: Cross multiply
    11,802x = 16,288.20 × 6,834
  4. Step 4: Simplify right side
    11,802x = 111,313,558.80
  5. Step 5: Solve for x
    x = 111,313,558.80/11,802
  6. Step 6: Final answer
    x = 9,431.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.