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Finding the Fourth Proportional to 7,722.27, 11,555.73 and 6,685.85

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Solution

The fourth proportional to 7,722.27, 11,555.73 and 6,685.85 is: 10,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.27 : 11,555.73 = 6,685.85 : x
  2. Step 2: Convert to fraction form
    7,722.27/11,555.73 = 6,685.85/x
  3. Step 3: Cross multiply
    7,722.27x = 11,555.73 × 6,685.85
  4. Step 4: Simplify right side
    7,722.27x = 77,259,819.64
  5. Step 5: Solve for x
    x = 77,259,819.64/7,722.27
  6. Step 6: Final answer
    x = 10,004.81

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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.