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Finding the Fourth Proportional to 10,231.92, 14,119.91 and 5,755.68

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Solution

The fourth proportional to 10,231.92, 14,119.91 and 5,755.68 is: 7,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.92 : 14,119.91 = 5,755.68 : x
  2. Step 2: Convert to fraction form
    10,231.92/14,119.91 = 5,755.68/x
  3. Step 3: Cross multiply
    10,231.92x = 14,119.91 × 5,755.68
  4. Step 4: Simplify right side
    10,231.92x = 81,269,612.99
  5. Step 5: Solve for x
    x = 81,269,612.99/10,231.92
  6. Step 6: Final answer
    x = 7,942.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.