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Finding the Fourth Proportional to 11,676.68, 17,514.52 and 5,434.54

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Solution

The fourth proportional to 11,676.68, 17,514.52 and 5,434.54 is: 8,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.68 : 17,514.52 = 5,434.54 : x
  2. Step 2: Convert to fraction form
    11,676.68/17,514.52 = 5,434.54/x
  3. Step 3: Cross multiply
    11,676.68x = 17,514.52 × 5,434.54
  4. Step 4: Simplify right side
    11,676.68x = 95,183,302.15
  5. Step 5: Solve for x
    x = 95,183,302.15/11,676.68
  6. Step 6: Final answer
    x = 8,151.58

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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.