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Finding the Fourth Proportional to 11,678.67, 17,514.15 and 3,779.34

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Solution

The fourth proportional to 11,678.67, 17,514.15 and 3,779.34 is: 5,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.67 : 17,514.15 = 3,779.34 : x
  2. Step 2: Convert to fraction form
    11,678.67/17,514.15 = 3,779.34/x
  3. Step 3: Cross multiply
    11,678.67x = 17,514.15 × 3,779.34
  4. Step 4: Simplify right side
    11,678.67x = 66,191,927.66
  5. Step 5: Solve for x
    x = 66,191,927.66/11,678.67
  6. Step 6: Final answer
    x = 5,667.76

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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.