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Finding the Fourth Proportional to 11,144.57, 15,379.69 and 6,109.28

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Solution

The fourth proportional to 11,144.57, 15,379.69 and 6,109.28 is: 8,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.57 : 15,379.69 = 6,109.28 : x
  2. Step 2: Convert to fraction form
    11,144.57/15,379.69 = 6,109.28/x
  3. Step 3: Cross multiply
    11,144.57x = 15,379.69 × 6,109.28
  4. Step 4: Simplify right side
    11,144.57x = 93,958,755.62
  5. Step 5: Solve for x
    x = 93,958,755.62/11,144.57
  6. Step 6: Final answer
    x = 8,430.90

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