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Finding the Fourth Proportional to 11,144.45, 15,379.52 and 6,109.16

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Solution

The fourth proportional to 11,144.45, 15,379.52 and 6,109.16 is: 8,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.45 : 15,379.52 = 6,109.16 : x
  2. Step 2: Convert to fraction form
    11,144.45/15,379.52 = 6,109.16/x
  3. Step 3: Cross multiply
    11,144.45x = 15,379.52 × 6,109.16
  4. Step 4: Simplify right side
    11,144.45x = 93,955,840.96
  5. Step 5: Solve for x
    x = 93,955,840.96/11,144.45
  6. Step 6: Final answer
    x = 8,430.73

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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.