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Finding the Fourth Proportional to 11,144.81, 15,379.77 and 6,109.24

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Solution

The fourth proportional to 11,144.81, 15,379.77 and 6,109.24 is: 8,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.81 : 15,379.77 = 6,109.24 : x
  2. Step 2: Convert to fraction form
    11,144.81/15,379.77 = 6,109.24/x
  3. Step 3: Cross multiply
    11,144.81x = 15,379.77 × 6,109.24
  4. Step 4: Simplify right side
    11,144.81x = 93,958,706.07
  5. Step 5: Solve for x
    x = 93,958,706.07/11,144.81
  6. Step 6: Final answer
    x = 8,430.72

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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.