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Finding the Fourth Proportional to 7,161, 10,741.06 and 2,229.94

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Solution

The fourth proportional to 7,161, 10,741.06 and 2,229.94 is: 3,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161 : 10,741.06 = 2,229.94 : x
  2. Step 2: Convert to fraction form
    7,161/10,741.06 = 2,229.94/x
  3. Step 3: Cross multiply
    7,161x = 10,741.06 × 2,229.94
  4. Step 4: Simplify right side
    7,161x = 23,951,919.34
  5. Step 5: Solve for x
    x = 23,951,919.34/7,161
  6. Step 6: Final answer
    x = 3,344.77

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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.