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Finding the Fourth Proportional to 11,676.96, 17,514.81 and 3,779.32

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Solution

The fourth proportional to 11,676.96, 17,514.81 and 3,779.32 is: 5,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.96 : 17,514.81 = 3,779.32 : x
  2. Step 2: Convert to fraction form
    11,676.96/17,514.81 = 3,779.32/x
  3. Step 3: Cross multiply
    11,676.96x = 17,514.81 × 3,779.32
  4. Step 4: Simplify right side
    11,676.96x = 66,194,071.73
  5. Step 5: Solve for x
    x = 66,194,071.73/11,676.96
  6. Step 6: Final answer
    x = 5,668.78

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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.