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Finding the Fourth Proportional to 11,778.69, 17,668.64 and 3,013.68

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Solution

The fourth proportional to 11,778.69, 17,668.64 and 3,013.68 is: 4,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.69 : 17,668.64 = 3,013.68 : x
  2. Step 2: Convert to fraction form
    11,778.69/17,668.64 = 3,013.68/x
  3. Step 3: Cross multiply
    11,778.69x = 17,668.64 × 3,013.68
  4. Step 4: Simplify right side
    11,778.69x = 53,247,634.53
  5. Step 5: Solve for x
    x = 53,247,634.53/11,778.69
  6. Step 6: Final answer
    x = 4,520.68

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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.