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Finding the Fourth Proportional to 11,593.50, 17,388.22 and 5,352.98

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Solution

The fourth proportional to 11,593.50, 17,388.22 and 5,352.98 is: 8,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.50 : 17,388.22 = 5,352.98 : x
  2. Step 2: Convert to fraction form
    11,593.50/17,388.22 = 5,352.98/x
  3. Step 3: Cross multiply
    11,593.50x = 17,388.22 × 5,352.98
  4. Step 4: Simplify right side
    11,593.50x = 93,078,706.95
  5. Step 5: Solve for x
    x = 93,078,706.95/11,593.50
  6. Step 6: Final answer
    x = 8,028.53

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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.