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Finding the Fourth Proportional to 8,832.34, 13,251.74 and 8,310.70

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Solution

The fourth proportional to 8,832.34, 13,251.74 and 8,310.70 is: 12,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.34 : 13,251.74 = 8,310.70 : x
  2. Step 2: Convert to fraction form
    8,832.34/13,251.74 = 8,310.70/x
  3. Step 3: Cross multiply
    8,832.34x = 13,251.74 × 8,310.70
  4. Step 4: Simplify right side
    8,832.34x = 110,131,235.62
  5. Step 5: Solve for x
    x = 110,131,235.62/8,832.34
  6. Step 6: Final answer
    x = 12,469.09

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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.