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Finding the Fourth Proportional to 11,144.93, 15,379.94 and 6,109.36

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Solution

The fourth proportional to 11,144.93, 15,379.94 and 6,109.36 is: 8,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.93 : 15,379.94 = 6,109.36 : x
  2. Step 2: Convert to fraction form
    11,144.93/15,379.94 = 6,109.36/x
  3. Step 3: Cross multiply
    11,144.93x = 15,379.94 × 6,109.36
  4. Step 4: Simplify right side
    11,144.93x = 93,961,590.24
  5. Step 5: Solve for x
    x = 93,961,590.24/11,144.93
  6. Step 6: Final answer
    x = 8,430.88

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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.