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Finding the Fourth Proportional to 11,768.52, 17,650.68 and 6,847.80

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Solution

The fourth proportional to 11,768.52, 17,650.68 and 6,847.80 is: 10,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.52 : 17,650.68 = 6,847.80 : x
  2. Step 2: Convert to fraction form
    11,768.52/17,650.68 = 6,847.80/x
  3. Step 3: Cross multiply
    11,768.52x = 17,650.68 × 6,847.80
  4. Step 4: Simplify right side
    11,768.52x = 120,868,326.50
  5. Step 5: Solve for x
    x = 120,868,326.50/11,768.52
  6. Step 6: Final answer
    x = 10,270.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.