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Finding the Fourth Proportional to 11,447.73, 17,142.44 and 5,589

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Solution

The fourth proportional to 11,447.73, 17,142.44 and 5,589 is: 8,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.73 : 17,142.44 = 5,589 : x
  2. Step 2: Convert to fraction form
    11,447.73/17,142.44 = 5,589/x
  3. Step 3: Cross multiply
    11,447.73x = 17,142.44 × 5,589
  4. Step 4: Simplify right side
    11,447.73x = 95,809,069.22
  5. Step 5: Solve for x
    x = 95,809,069.22/11,447.73
  6. Step 6: Final answer
    x = 8,369.26

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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.