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Finding the Fourth Proportional to 7,668, 11,499.84 and 3,768.12

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Solution

The fourth proportional to 7,668, 11,499.84 and 3,768.12 is: 5,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668 : 11,499.84 = 3,768.12 : x
  2. Step 2: Convert to fraction form
    7,668/11,499.84 = 3,768.12/x
  3. Step 3: Cross multiply
    7,668x = 11,499.84 × 3,768.12
  4. Step 4: Simplify right side
    7,668x = 43,332,777.10
  5. Step 5: Solve for x
    x = 43,332,777.10/7,668
  6. Step 6: Final answer
    x = 5,651.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.