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Finding the Fourth Proportional to 7,739.49, 11,609.22 and 2,809.12

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Solution

The fourth proportional to 7,739.49, 11,609.22 and 2,809.12 is: 4,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.49 : 11,609.22 = 2,809.12 : x
  2. Step 2: Convert to fraction form
    7,739.49/11,609.22 = 2,809.12/x
  3. Step 3: Cross multiply
    7,739.49x = 11,609.22 × 2,809.12
  4. Step 4: Simplify right side
    7,739.49x = 32,611,692.09
  5. Step 5: Solve for x
    x = 32,611,692.09/7,739.49
  6. Step 6: Final answer
    x = 4,213.67

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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.