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Finding the Fourth Proportional to 8,609.92, 11,879.87 and 5,630.13

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Solution

The fourth proportional to 8,609.92, 11,879.87 and 5,630.13 is: 7,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.92 : 11,879.87 = 5,630.13 : x
  2. Step 2: Convert to fraction form
    8,609.92/11,879.87 = 5,630.13/x
  3. Step 3: Cross multiply
    8,609.92x = 11,879.87 × 5,630.13
  4. Step 4: Simplify right side
    8,609.92x = 66,885,184.33
  5. Step 5: Solve for x
    x = 66,885,184.33/8,609.92
  6. Step 6: Final answer
    x = 7,768.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.