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Finding the Fourth Proportional to 8,179.70, 12,269.55 and 5,998.10

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Solution

The fourth proportional to 8,179.70, 12,269.55 and 5,998.10 is: 8,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.70 : 12,269.55 = 5,998.10 : x
  2. Step 2: Convert to fraction form
    8,179.70/12,269.55 = 5,998.10/x
  3. Step 3: Cross multiply
    8,179.70x = 12,269.55 × 5,998.10
  4. Step 4: Simplify right side
    8,179.70x = 73,593,987.86
  5. Step 5: Solve for x
    x = 73,593,987.86/8,179.70
  6. Step 6: Final answer
    x = 8,997.15

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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.