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Finding the Fourth Proportional to 7,779.85, 11,668.17 and 2,231.96

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Solution

The fourth proportional to 7,779.85, 11,668.17 and 2,231.96 is: 3,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.85 : 11,668.17 = 2,231.96 : x
  2. Step 2: Convert to fraction form
    7,779.85/11,668.17 = 2,231.96/x
  3. Step 3: Cross multiply
    7,779.85x = 11,668.17 × 2,231.96
  4. Step 4: Simplify right side
    7,779.85x = 26,042,917.88
  5. Step 5: Solve for x
    x = 26,042,917.88/7,779.85
  6. Step 6: Final answer
    x = 3,347.48

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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.