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Finding the Fourth Proportional to 8,158.86, 12,229.89 and 3,226.50

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Solution

The fourth proportional to 8,158.86, 12,229.89 and 3,226.50 is: 4,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.86 : 12,229.89 = 3,226.50 : x
  2. Step 2: Convert to fraction form
    8,158.86/12,229.89 = 3,226.50/x
  3. Step 3: Cross multiply
    8,158.86x = 12,229.89 × 3,226.50
  4. Step 4: Simplify right side
    8,158.86x = 39,459,740.09
  5. Step 5: Solve for x
    x = 39,459,740.09/8,158.86
  6. Step 6: Final answer
    x = 4,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.