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Finding the Fourth Proportional to 11,469.86, 17,181.34 and 6,775.72

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Solution

The fourth proportional to 11,469.86, 17,181.34 and 6,775.72 is: 10,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.86 : 17,181.34 = 6,775.72 : x
  2. Step 2: Convert to fraction form
    11,469.86/17,181.34 = 6,775.72/x
  3. Step 3: Cross multiply
    11,469.86x = 17,181.34 × 6,775.72
  4. Step 4: Simplify right side
    11,469.86x = 116,415,949.06
  5. Step 5: Solve for x
    x = 116,415,949.06/11,469.86
  6. Step 6: Final answer
    x = 10,149.73

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