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Finding the Fourth Proportional to 8,234.53, 12,349.58 and 2,311.06

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Solution

The fourth proportional to 8,234.53, 12,349.58 and 2,311.06 is: 3,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.53 : 12,349.58 = 2,311.06 : x
  2. Step 2: Convert to fraction form
    8,234.53/12,349.58 = 2,311.06/x
  3. Step 3: Cross multiply
    8,234.53x = 12,349.58 × 2,311.06
  4. Step 4: Simplify right side
    8,234.53x = 28,540,620.35
  5. Step 5: Solve for x
    x = 28,540,620.35/8,234.53
  6. Step 6: Final answer
    x = 3,465.97

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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.