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Finding the Fourth Proportional to 7,568.46, 11,348.79 and 3,404.92

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Solution

The fourth proportional to 7,568.46, 11,348.79 and 3,404.92 is: 5,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.46 : 11,348.79 = 3,404.92 : x
  2. Step 2: Convert to fraction form
    7,568.46/11,348.79 = 3,404.92/x
  3. Step 3: Cross multiply
    7,568.46x = 11,348.79 × 3,404.92
  4. Step 4: Simplify right side
    7,568.46x = 38,641,722.05
  5. Step 5: Solve for x
    x = 38,641,722.05/7,568.46
  6. Step 6: Final answer
    x = 5,105.63

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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.