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Finding the Fourth Proportional to 8,124.71, 12,183.62 and 3,193.56

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Solution

The fourth proportional to 8,124.71, 12,183.62 and 3,193.56 is: 4,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.71 : 12,183.62 = 3,193.56 : x
  2. Step 2: Convert to fraction form
    8,124.71/12,183.62 = 3,193.56/x
  3. Step 3: Cross multiply
    8,124.71x = 12,183.62 × 3,193.56
  4. Step 4: Simplify right side
    8,124.71x = 38,909,105.52
  5. Step 5: Solve for x
    x = 38,909,105.52/8,124.71
  6. Step 6: Final answer
    x = 4,788.99

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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.