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Finding the Fourth Proportional to 8,153.72, 12,229.02 and 2,310.12

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Solution

The fourth proportional to 8,153.72, 12,229.02 and 2,310.12 is: 3,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.72 : 12,229.02 = 2,310.12 : x
  2. Step 2: Convert to fraction form
    8,153.72/12,229.02 = 2,310.12/x
  3. Step 3: Cross multiply
    8,153.72x = 12,229.02 × 2,310.12
  4. Step 4: Simplify right side
    8,153.72x = 28,250,503.68
  5. Step 5: Solve for x
    x = 28,250,503.68/8,153.72
  6. Step 6: Final answer
    x = 3,464.74

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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.