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Finding the Fourth Proportional to 11,523.82, 17,286 and 4,503.52

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Solution

The fourth proportional to 11,523.82, 17,286 and 4,503.52 is: 6,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.82 : 17,286 = 4,503.52 : x
  2. Step 2: Convert to fraction form
    11,523.82/17,286 = 4,503.52/x
  3. Step 3: Cross multiply
    11,523.82x = 17,286 × 4,503.52
  4. Step 4: Simplify right side
    11,523.82x = 77,847,846.72
  5. Step 5: Solve for x
    x = 77,847,846.72/11,523.82
  6. Step 6: Final answer
    x = 6,755.39

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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.