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Finding the Fourth Proportional to 7,682.67, 11,522.18 and 2,136.20

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Solution

The fourth proportional to 7,682.67, 11,522.18 and 2,136.20 is: 3,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.67 : 11,522.18 = 2,136.20 : x
  2. Step 2: Convert to fraction form
    7,682.67/11,522.18 = 2,136.20/x
  3. Step 3: Cross multiply
    7,682.67x = 11,522.18 × 2,136.20
  4. Step 4: Simplify right side
    7,682.67x = 24,613,628.65
  5. Step 5: Solve for x
    x = 24,613,628.65/7,682.67
  6. Step 6: Final answer
    x = 3,203.79

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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.