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Finding the Fourth Proportional to 8,193.02, 12,286.86 and 2,645.06

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Solution

The fourth proportional to 8,193.02, 12,286.86 and 2,645.06 is: 3,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.02 : 12,286.86 = 2,645.06 : x
  2. Step 2: Convert to fraction form
    8,193.02/12,286.86 = 2,645.06/x
  3. Step 3: Cross multiply
    8,193.02x = 12,286.86 × 2,645.06
  4. Step 4: Simplify right side
    8,193.02x = 32,499,481.91
  5. Step 5: Solve for x
    x = 32,499,481.91/8,193.02
  6. Step 6: Final answer
    x = 3,966.73

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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.