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Finding the Fourth Proportional to 7,911.44, 11,866.40 and 3,231.62

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Solution

The fourth proportional to 7,911.44, 11,866.40 and 3,231.62 is: 4,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.44 : 11,866.40 = 3,231.62 : x
  2. Step 2: Convert to fraction form
    7,911.44/11,866.40 = 3,231.62/x
  3. Step 3: Cross multiply
    7,911.44x = 11,866.40 × 3,231.62
  4. Step 4: Simplify right side
    7,911.44x = 38,347,620.08
  5. Step 5: Solve for x
    x = 38,347,620.08/7,911.44
  6. Step 6: Final answer
    x = 4,847.11

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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.