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Finding the Fourth Proportional to 7,645.97, 10,546.57 and 5,524.62

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Solution

The fourth proportional to 7,645.97, 10,546.57 and 5,524.62 is: 7,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.97 : 10,546.57 = 5,524.62 : x
  2. Step 2: Convert to fraction form
    7,645.97/10,546.57 = 5,524.62/x
  3. Step 3: Cross multiply
    7,645.97x = 10,546.57 × 5,524.62
  4. Step 4: Simplify right side
    7,645.97x = 58,265,791.55
  5. Step 5: Solve for x
    x = 58,265,791.55/7,645.97
  6. Step 6: Final answer
    x = 7,620.46

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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.