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Finding the Fourth Proportional to 8,152.67, 12,231.07 and 2,309.33

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Solution

The fourth proportional to 8,152.67, 12,231.07 and 2,309.33 is: 3,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.67 : 12,231.07 = 2,309.33 : x
  2. Step 2: Convert to fraction form
    8,152.67/12,231.07 = 2,309.33/x
  3. Step 3: Cross multiply
    8,152.67x = 12,231.07 × 2,309.33
  4. Step 4: Simplify right side
    8,152.67x = 28,245,601.69
  5. Step 5: Solve for x
    x = 28,245,601.69/8,152.67
  6. Step 6: Final answer
    x = 3,464.58

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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.