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Finding the Fourth Proportional to 7,777.91, 11,668.37 and 4,266

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Solution

The fourth proportional to 7,777.91, 11,668.37 and 4,266 is: 6,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.91 : 11,668.37 = 4,266 : x
  2. Step 2: Convert to fraction form
    7,777.91/11,668.37 = 4,266/x
  3. Step 3: Cross multiply
    7,777.91x = 11,668.37 × 4,266
  4. Step 4: Simplify right side
    7,777.91x = 49,777,245.09
  5. Step 5: Solve for x
    x = 49,777,245.09/7,777.91
  6. Step 6: Final answer
    x = 6,399.82

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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.