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Finding the Fourth Proportional to 11,676.44, 17,502.24 and 5,819.96

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Solution

The fourth proportional to 11,676.44, 17,502.24 and 5,819.96 is: 8,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.44 : 17,502.24 = 5,819.96 : x
  2. Step 2: Convert to fraction form
    11,676.44/17,502.24 = 5,819.96/x
  3. Step 3: Cross multiply
    11,676.44x = 17,502.24 × 5,819.96
  4. Step 4: Simplify right side
    11,676.44x = 101,862,336.71
  5. Step 5: Solve for x
    x = 101,862,336.71/11,676.44
  6. Step 6: Final answer
    x = 8,723.75

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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.