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Finding the Fourth Proportional to 10,470.92, 14,449.97 and 5,755.19

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Solution

The fourth proportional to 10,470.92, 14,449.97 and 5,755.19 is: 7,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.92 : 14,449.97 = 5,755.19 : x
  2. Step 2: Convert to fraction form
    10,470.92/14,449.97 = 5,755.19/x
  3. Step 3: Cross multiply
    10,470.92x = 14,449.97 × 5,755.19
  4. Step 4: Simplify right side
    10,470.92x = 83,162,264.98
  5. Step 5: Solve for x
    x = 83,162,264.98/10,470.92
  6. Step 6: Final answer
    x = 7,942.22

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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.