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Finding the Fourth Proportional to 7,667.69, 11,500.16 and 2,119.74

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Solution

The fourth proportional to 7,667.69, 11,500.16 and 2,119.74 is: 3,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.69 : 11,500.16 = 2,119.74 : x
  2. Step 2: Convert to fraction form
    7,667.69/11,500.16 = 2,119.74/x
  3. Step 3: Cross multiply
    7,667.69x = 11,500.16 × 2,119.74
  4. Step 4: Simplify right side
    7,667.69x = 24,377,338.56
  5. Step 5: Solve for x
    x = 24,377,338.56/7,667.69
  6. Step 6: Final answer
    x = 3,179.23

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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.