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Finding the Fourth Proportional to 27,720.62, 41,580.96 and 7,729.32

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Solution

The fourth proportional to 27,720.62, 41,580.96 and 7,729.32 is: 11,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720.62 : 41,580.96 = 7,729.32 : x
  2. Step 2: Convert to fraction form
    27,720.62/41,580.96 = 7,729.32/x
  3. Step 3: Cross multiply
    27,720.62x = 41,580.96 × 7,729.32
  4. Step 4: Simplify right side
    27,720.62x = 321,392,545.75
  5. Step 5: Solve for x
    x = 321,392,545.75/27,720.62
  6. Step 6: Final answer
    x = 11,593.99

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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.