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Finding the Fourth Proportional to 11,174.45, 16,776.32 and 7,493.15

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Solution

The fourth proportional to 11,174.45, 16,776.32 and 7,493.15 is: 11,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.45 : 16,776.32 = 7,493.15 : x
  2. Step 2: Convert to fraction form
    11,174.45/16,776.32 = 7,493.15/x
  3. Step 3: Cross multiply
    11,174.45x = 16,776.32 × 7,493.15
  4. Step 4: Simplify right side
    11,174.45x = 125,707,481.65
  5. Step 5: Solve for x
    x = 125,707,481.65/11,174.45
  6. Step 6: Final answer
    x = 11,249.55

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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.