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Finding the Fourth Proportional to 26,583.28, 39,874.92 and 7,861.86

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Solution

The fourth proportional to 26,583.28, 39,874.92 and 7,861.86 is: 11,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.28 : 39,874.92 = 7,861.86 : x
  2. Step 2: Convert to fraction form
    26,583.28/39,874.92 = 7,861.86/x
  3. Step 3: Cross multiply
    26,583.28x = 39,874.92 × 7,861.86
  4. Step 4: Simplify right side
    26,583.28x = 313,490,799.87
  5. Step 5: Solve for x
    x = 313,490,799.87/26,583.28
  6. Step 6: Final answer
    x = 11,792.78

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Why These Related Problems?

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