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Finding the Fourth Proportional to 7,769.25, 10,721.43 and 4,232.43

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Solution

The fourth proportional to 7,769.25, 10,721.43 and 4,232.43 is: 5,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.25 : 10,721.43 = 4,232.43 : x
  2. Step 2: Convert to fraction form
    7,769.25/10,721.43 = 4,232.43/x
  3. Step 3: Cross multiply
    7,769.25x = 10,721.43 × 4,232.43
  4. Step 4: Simplify right side
    7,769.25x = 45,377,701.97
  5. Step 5: Solve for x
    x = 45,377,701.97/7,769.25
  6. Step 6: Final answer
    x = 5,840.68

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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.