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Finding the Fourth Proportional to 11,595, 17,369.46 and 5,733.72

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Solution

The fourth proportional to 11,595, 17,369.46 and 5,733.72 is: 8,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595 : 17,369.46 = 5,733.72 : x
  2. Step 2: Convert to fraction form
    11,595/17,369.46 = 5,733.72/x
  3. Step 3: Cross multiply
    11,595x = 17,369.46 × 5,733.72
  4. Step 4: Simplify right side
    11,595x = 99,591,620.19
  5. Step 5: Solve for x
    x = 99,591,620.19/11,595
  6. Step 6: Final answer
    x = 8,589.19

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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.