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Finding the Fourth Proportional to 7,441.97, 10,269.96 and 4,084.82

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Solution

The fourth proportional to 7,441.97, 10,269.96 and 4,084.82 is: 5,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.97 : 10,269.96 = 4,084.82 : x
  2. Step 2: Convert to fraction form
    7,441.97/10,269.96 = 4,084.82/x
  3. Step 3: Cross multiply
    7,441.97x = 10,269.96 × 4,084.82
  4. Step 4: Simplify right side
    7,441.97x = 41,950,938.01
  5. Step 5: Solve for x
    x = 41,950,938.01/7,441.97
  6. Step 6: Final answer
    x = 5,637.07

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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.