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Finding the Fourth Proportional to 8,306.79, 12,458.06 and 2,462.03

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Solution

The fourth proportional to 8,306.79, 12,458.06 and 2,462.03 is: 3,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.79 : 12,458.06 = 2,462.03 : x
  2. Step 2: Convert to fraction form
    8,306.79/12,458.06 = 2,462.03/x
  3. Step 3: Cross multiply
    8,306.79x = 12,458.06 × 2,462.03
  4. Step 4: Simplify right side
    8,306.79x = 30,672,117.46
  5. Step 5: Solve for x
    x = 30,672,117.46/8,306.79
  6. Step 6: Final answer
    x = 3,692.42

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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.