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Finding the Fourth Proportional to 8,311.81, 12,465.01 and 2,763.66

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Solution

The fourth proportional to 8,311.81, 12,465.01 and 2,763.66 is: 4,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.81 : 12,465.01 = 2,763.66 : x
  2. Step 2: Convert to fraction form
    8,311.81/12,465.01 = 2,763.66/x
  3. Step 3: Cross multiply
    8,311.81x = 12,465.01 × 2,763.66
  4. Step 4: Simplify right side
    8,311.81x = 34,449,049.54
  5. Step 5: Solve for x
    x = 34,449,049.54/8,311.81
  6. Step 6: Final answer
    x = 4,144.59

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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.