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Finding the Fourth Proportional to 11,593.89, 17,374.64 and 5,744.61

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Solution

The fourth proportional to 11,593.89, 17,374.64 and 5,744.61 is: 8,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.89 : 17,374.64 = 5,744.61 : x
  2. Step 2: Convert to fraction form
    11,593.89/17,374.64 = 5,744.61/x
  3. Step 3: Cross multiply
    11,593.89x = 17,374.64 × 5,744.61
  4. Step 4: Simplify right side
    11,593.89x = 99,810,501.97
  5. Step 5: Solve for x
    x = 99,810,501.97/11,593.89
  6. Step 6: Final answer
    x = 8,608.89

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