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Finding the Fourth Proportional to 8,219.92, 12,327.32 and 3,026.24

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Solution

The fourth proportional to 8,219.92, 12,327.32 and 3,026.24 is: 4,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.92 : 12,327.32 = 3,026.24 : x
  2. Step 2: Convert to fraction form
    8,219.92/12,327.32 = 3,026.24/x
  3. Step 3: Cross multiply
    8,219.92x = 12,327.32 × 3,026.24
  4. Step 4: Simplify right side
    8,219.92x = 37,305,428.88
  5. Step 5: Solve for x
    x = 37,305,428.88/8,219.92
  6. Step 6: Final answer
    x = 4,538.42

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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.