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Finding the Fourth Proportional to 7,091.74, 10,638.24 and 2,161.90

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Solution

The fourth proportional to 7,091.74, 10,638.24 and 2,161.90 is: 3,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.74 : 10,638.24 = 2,161.90 : x
  2. Step 2: Convert to fraction form
    7,091.74/10,638.24 = 2,161.90/x
  3. Step 3: Cross multiply
    7,091.74x = 10,638.24 × 2,161.90
  4. Step 4: Simplify right side
    7,091.74x = 22,998,811.06
  5. Step 5: Solve for x
    x = 22,998,811.06/7,091.74
  6. Step 6: Final answer
    x = 3,243.04

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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.