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Finding the Fourth Proportional to 6,680.34, 10,019.34 and 2,297.88

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Solution

The fourth proportional to 6,680.34, 10,019.34 and 2,297.88 is: 3,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.34 : 10,019.34 = 2,297.88 : x
  2. Step 2: Convert to fraction form
    6,680.34/10,019.34 = 2,297.88/x
  3. Step 3: Cross multiply
    6,680.34x = 10,019.34 × 2,297.88
  4. Step 4: Simplify right side
    6,680.34x = 23,023,241.00
  5. Step 5: Solve for x
    x = 23,023,241.00/6,680.34
  6. Step 6: Final answer
    x = 3,446.42

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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.