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Finding the Fourth Proportional to 8,306.01, 12,459.69 and 2,462.94

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Solution

The fourth proportional to 8,306.01, 12,459.69 and 2,462.94 is: 3,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.01 : 12,459.69 = 2,462.94 : x
  2. Step 2: Convert to fraction form
    8,306.01/12,459.69 = 2,462.94/x
  3. Step 3: Cross multiply
    8,306.01x = 12,459.69 × 2,462.94
  4. Step 4: Simplify right side
    8,306.01x = 30,687,468.89
  5. Step 5: Solve for x
    x = 30,687,468.89/8,306.01
  6. Step 6: Final answer
    x = 3,694.61

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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.