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Finding the Fourth Proportional to 7,627.72, 10,522.26 and 5,761.48

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Solution

The fourth proportional to 7,627.72, 10,522.26 and 5,761.48 is: 7,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.72 : 10,522.26 = 5,761.48 : x
  2. Step 2: Convert to fraction form
    7,627.72/10,522.26 = 5,761.48/x
  3. Step 3: Cross multiply
    7,627.72x = 10,522.26 × 5,761.48
  4. Step 4: Simplify right side
    7,627.72x = 60,623,790.54
  5. Step 5: Solve for x
    x = 60,623,790.54/7,627.72
  6. Step 6: Final answer
    x = 7,947.83

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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.