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Finding the Fourth Proportional to 11,668.91, 17,503.38 and 7,745.27

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Solution

The fourth proportional to 11,668.91, 17,503.38 and 7,745.27 is: 11,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.91 : 17,503.38 = 7,745.27 : x
  2. Step 2: Convert to fraction form
    11,668.91/17,503.38 = 7,745.27/x
  3. Step 3: Cross multiply
    11,668.91x = 17,503.38 × 7,745.27
  4. Step 4: Simplify right side
    11,668.91x = 135,568,316.50
  5. Step 5: Solve for x
    x = 135,568,316.50/11,668.91
  6. Step 6: Final answer
    x = 11,617.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.