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Finding the Fourth Proportional to 7,723, 10,666.38 and 5,234.68

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Solution

The fourth proportional to 7,723, 10,666.38 and 5,234.68 is: 7,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723 : 10,666.38 = 5,234.68 : x
  2. Step 2: Convert to fraction form
    7,723/10,666.38 = 5,234.68/x
  3. Step 3: Cross multiply
    7,723x = 10,666.38 × 5,234.68
  4. Step 4: Simplify right side
    7,723x = 55,835,086.06
  5. Step 5: Solve for x
    x = 55,835,086.06/7,723
  6. Step 6: Final answer
    x = 7,229.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.