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Finding the Fourth Proportional to 11,676.46, 17,514.57 and 6,997.78

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Solution

The fourth proportional to 11,676.46, 17,514.57 and 6,997.78 is: 10,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.46 : 17,514.57 = 6,997.78 : x
  2. Step 2: Convert to fraction form
    11,676.46/17,514.57 = 6,997.78/x
  3. Step 3: Cross multiply
    11,676.46x = 17,514.57 × 6,997.78
  4. Step 4: Simplify right side
    11,676.46x = 122,563,107.65
  5. Step 5: Solve for x
    x = 122,563,107.65/11,676.46
  6. Step 6: Final answer
    x = 10,496.60

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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.