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Finding the Fourth Proportional to 10,299.35, 14,212.99 and 5,761.97

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Solution

The fourth proportional to 10,299.35, 14,212.99 and 5,761.97 is: 7,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.35 : 14,212.99 = 5,761.97 : x
  2. Step 2: Convert to fraction form
    10,299.35/14,212.99 = 5,761.97/x
  3. Step 3: Cross multiply
    10,299.35x = 14,212.99 × 5,761.97
  4. Step 4: Simplify right side
    10,299.35x = 81,894,821.99
  5. Step 5: Solve for x
    x = 81,894,821.99/10,299.35
  6. Step 6: Final answer
    x = 7,951.46

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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.