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Finding the Fourth Proportional to 7,778.69, 11,668.03 and 2,584.56

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Solution

The fourth proportional to 7,778.69, 11,668.03 and 2,584.56 is: 3,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.69 : 11,668.03 = 2,584.56 : x
  2. Step 2: Convert to fraction form
    7,778.69/11,668.03 = 2,584.56/x
  3. Step 3: Cross multiply
    7,778.69x = 11,668.03 × 2,584.56
  4. Step 4: Simplify right side
    7,778.69x = 30,156,723.62
  5. Step 5: Solve for x
    x = 30,156,723.62/7,778.69
  6. Step 6: Final answer
    x = 3,876.84

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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.