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Finding the Fourth Proportional to 27,625.92, 41,445.84 and 7,906.20

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Solution

The fourth proportional to 27,625.92, 41,445.84 and 7,906.20 is: 11,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.92 : 41,445.84 = 7,906.20 : x
  2. Step 2: Convert to fraction form
    27,625.92/41,445.84 = 7,906.20/x
  3. Step 3: Cross multiply
    27,625.92x = 41,445.84 × 7,906.20
  4. Step 4: Simplify right side
    27,625.92x = 327,679,100.21
  5. Step 5: Solve for x
    x = 327,679,100.21/27,625.92
  6. Step 6: Final answer
    x = 11,861.29

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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.