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Finding the Fourth Proportional to 7,767.75, 11,615.83 and 5,770.20

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Solution

The fourth proportional to 7,767.75, 11,615.83 and 5,770.20 is: 8,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.75 : 11,615.83 = 5,770.20 : x
  2. Step 2: Convert to fraction form
    7,767.75/11,615.83 = 5,770.20/x
  3. Step 3: Cross multiply
    7,767.75x = 11,615.83 × 5,770.20
  4. Step 4: Simplify right side
    7,767.75x = 67,025,662.27
  5. Step 5: Solve for x
    x = 67,025,662.27/7,767.75
  6. Step 6: Final answer
    x = 8,628.71

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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.