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Finding the Fourth Proportional to 11,801.68, 16,286.38 and 6,766.20

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Solution

The fourth proportional to 11,801.68, 16,286.38 and 6,766.20 is: 9,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.68 : 16,286.38 = 6,766.20 : x
  2. Step 2: Convert to fraction form
    11,801.68/16,286.38 = 6,766.20/x
  3. Step 3: Cross multiply
    11,801.68x = 16,286.38 × 6,766.20
  4. Step 4: Simplify right side
    11,801.68x = 110,196,887.44
  5. Step 5: Solve for x
    x = 110,196,887.44/11,801.68
  6. Step 6: Final answer
    x = 9,337.39

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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.