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Finding the Fourth Proportional to 11,855.97, 17,745.35 and 8,734.73

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Solution

The fourth proportional to 11,855.97, 17,745.35 and 8,734.73 is: 13,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.97 : 17,745.35 = 8,734.73 : x
  2. Step 2: Convert to fraction form
    11,855.97/17,745.35 = 8,734.73/x
  3. Step 3: Cross multiply
    11,855.97x = 17,745.35 × 8,734.73
  4. Step 4: Simplify right side
    11,855.97x = 155,000,708.61
  5. Step 5: Solve for x
    x = 155,000,708.61/11,855.97
  6. Step 6: Final answer
    x = 13,073.64

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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.