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Finding the Fourth Proportional to 11,589.91, 17,383.74 and 3,269.80

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Solution

The fourth proportional to 11,589.91, 17,383.74 and 3,269.80 is: 4,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.91 : 17,383.74 = 3,269.80 : x
  2. Step 2: Convert to fraction form
    11,589.91/17,383.74 = 3,269.80/x
  3. Step 3: Cross multiply
    11,589.91x = 17,383.74 × 3,269.80
  4. Step 4: Simplify right side
    11,589.91x = 56,841,353.05
  5. Step 5: Solve for x
    x = 56,841,353.05/11,589.91
  6. Step 6: Final answer
    x = 4,904.38

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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.