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Finding the Fourth Proportional to 8,306.91, 12,458.21 and 2,462.15

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Solution

The fourth proportional to 8,306.91, 12,458.21 and 2,462.15 is: 3,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.91 : 12,458.21 = 2,462.15 : x
  2. Step 2: Convert to fraction form
    8,306.91/12,458.21 = 2,462.15/x
  3. Step 3: Cross multiply
    8,306.91x = 12,458.21 × 2,462.15
  4. Step 4: Simplify right side
    8,306.91x = 30,674,019.05
  5. Step 5: Solve for x
    x = 30,674,019.05/8,306.91
  6. Step 6: Final answer
    x = 3,692.59

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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.