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Finding the Fourth Proportional to 7,227.85, 10,842.99 and 2,297.11

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Solution

The fourth proportional to 7,227.85, 10,842.99 and 2,297.11 is: 3,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.85 : 10,842.99 = 2,297.11 : x
  2. Step 2: Convert to fraction form
    7,227.85/10,842.99 = 2,297.11/x
  3. Step 3: Cross multiply
    7,227.85x = 10,842.99 × 2,297.11
  4. Step 4: Simplify right side
    7,227.85x = 24,907,540.76
  5. Step 5: Solve for x
    x = 24,907,540.76/7,227.85
  6. Step 6: Final answer
    x = 3,446.05

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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.