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Finding the Fourth Proportional to 7,781.82, 11,668.61 and 3,099.44

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Solution

The fourth proportional to 7,781.82, 11,668.61 and 3,099.44 is: 4,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.82 : 11,668.61 = 3,099.44 : x
  2. Step 2: Convert to fraction form
    7,781.82/11,668.61 = 3,099.44/x
  3. Step 3: Cross multiply
    7,781.82x = 11,668.61 × 3,099.44
  4. Step 4: Simplify right side
    7,781.82x = 36,166,082.74
  5. Step 5: Solve for x
    x = 36,166,082.74/7,781.82
  6. Step 6: Final answer
    x = 4,647.51

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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.