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Finding the Fourth Proportional to 8,222.91, 12,331.44 and 2,378.31

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Solution

The fourth proportional to 8,222.91, 12,331.44 and 2,378.31 is: 3,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.91 : 12,331.44 = 2,378.31 : x
  2. Step 2: Convert to fraction form
    8,222.91/12,331.44 = 2,378.31/x
  3. Step 3: Cross multiply
    8,222.91x = 12,331.44 × 2,378.31
  4. Step 4: Simplify right side
    8,222.91x = 29,327,987.07
  5. Step 5: Solve for x
    x = 29,327,987.07/8,222.91
  6. Step 6: Final answer
    x = 3,566.62

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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.