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Finding the Fourth Proportional to 8,168.82, 12,269.46 and 6,998.40

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Solution

The fourth proportional to 8,168.82, 12,269.46 and 6,998.40 is: 10,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.82 : 12,269.46 = 6,998.40 : x
  2. Step 2: Convert to fraction form
    8,168.82/12,269.46 = 6,998.40/x
  3. Step 3: Cross multiply
    8,168.82x = 12,269.46 × 6,998.40
  4. Step 4: Simplify right side
    8,168.82x = 85,866,588.86
  5. Step 5: Solve for x
    x = 85,866,588.86/8,168.82
  6. Step 6: Final answer
    x = 10,511.50

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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.