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Finding the Fourth Proportional to 7,738.26, 11,609.04 and 2,193.30

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Solution

The fourth proportional to 7,738.26, 11,609.04 and 2,193.30 is: 3,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.26 : 11,609.04 = 2,193.30 : x
  2. Step 2: Convert to fraction form
    7,738.26/11,609.04 = 2,193.30/x
  3. Step 3: Cross multiply
    7,738.26x = 11,609.04 × 2,193.30
  4. Step 4: Simplify right side
    7,738.26x = 25,462,107.43
  5. Step 5: Solve for x
    x = 25,462,107.43/7,738.26
  6. Step 6: Final answer
    x = 3,290.42

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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.