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Finding the Fourth Proportional to 8,217.96, 12,327.78 and 3,024.36

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Solution

The fourth proportional to 8,217.96, 12,327.78 and 3,024.36 is: 4,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.96 : 12,327.78 = 3,024.36 : x
  2. Step 2: Convert to fraction form
    8,217.96/12,327.78 = 3,024.36/x
  3. Step 3: Cross multiply
    8,217.96x = 12,327.78 × 3,024.36
  4. Step 4: Simplify right side
    8,217.96x = 37,283,644.72
  5. Step 5: Solve for x
    x = 37,283,644.72/8,217.96
  6. Step 6: Final answer
    x = 4,536.85

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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.