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Finding the Fourth Proportional to 8,270.34, 12,408.69 and 3,079.86

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Solution

The fourth proportional to 8,270.34, 12,408.69 and 3,079.86 is: 4,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.34 : 12,408.69 = 3,079.86 : x
  2. Step 2: Convert to fraction form
    8,270.34/12,408.69 = 3,079.86/x
  3. Step 3: Cross multiply
    8,270.34x = 12,408.69 × 3,079.86
  4. Step 4: Simplify right side
    8,270.34x = 38,217,027.98
  5. Step 5: Solve for x
    x = 38,217,027.98/8,270.34
  6. Step 6: Final answer
    x = 4,620.97

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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.