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Finding the Fourth Proportional to 7,866.72, 11,791.44 and 3,480.84

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Solution

The fourth proportional to 7,866.72, 11,791.44 and 3,480.84 is: 5,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.72 : 11,791.44 = 3,480.84 : x
  2. Step 2: Convert to fraction form
    7,866.72/11,791.44 = 3,480.84/x
  3. Step 3: Cross multiply
    7,866.72x = 11,791.44 × 3,480.84
  4. Step 4: Simplify right side
    7,866.72x = 41,044,116.01
  5. Step 5: Solve for x
    x = 41,044,116.01/7,866.72
  6. Step 6: Final answer
    x = 5,217.44

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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.