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Finding the Fourth Proportional to 11,157.67, 16,741.23 and 5,608.09

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Solution

The fourth proportional to 11,157.67, 16,741.23 and 5,608.09 is: 8,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.67 : 16,741.23 = 5,608.09 : x
  2. Step 2: Convert to fraction form
    11,157.67/16,741.23 = 5,608.09/x
  3. Step 3: Cross multiply
    11,157.67x = 16,741.23 × 5,608.09
  4. Step 4: Simplify right side
    11,157.67x = 93,886,212.80
  5. Step 5: Solve for x
    x = 93,886,212.80/11,157.67
  6. Step 6: Final answer
    x = 8,414.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.