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Finding the Fourth Proportional to 7,161.84, 10,744.29 and 2,231.37

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Solution

The fourth proportional to 7,161.84, 10,744.29 and 2,231.37 is: 3,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.84 : 10,744.29 = 2,231.37 : x
  2. Step 2: Convert to fraction form
    7,161.84/10,744.29 = 2,231.37/x
  3. Step 3: Cross multiply
    7,161.84x = 10,744.29 × 2,231.37
  4. Step 4: Simplify right side
    7,161.84x = 23,974,486.38
  5. Step 5: Solve for x
    x = 23,974,486.38/7,161.84
  6. Step 6: Final answer
    x = 3,347.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.