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Finding the Fourth Proportional to 7,734.52, 10,673.77 and 4,197.73

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Solution

The fourth proportional to 7,734.52, 10,673.77 and 4,197.73 is: 5,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.52 : 10,673.77 = 4,197.73 : x
  2. Step 2: Convert to fraction form
    7,734.52/10,673.77 = 4,197.73/x
  3. Step 3: Cross multiply
    7,734.52x = 10,673.77 × 4,197.73
  4. Step 4: Simplify right side
    7,734.52x = 44,805,604.54
  5. Step 5: Solve for x
    x = 44,805,604.54/7,734.52
  6. Step 6: Final answer
    x = 5,792.94

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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.