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Finding the Fourth Proportional to 8,161.80, 11,269.62 and 6,270.39

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Solution

The fourth proportional to 8,161.80, 11,269.62 and 6,270.39 is: 8,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.80 : 11,269.62 = 6,270.39 : x
  2. Step 2: Convert to fraction form
    8,161.80/11,269.62 = 6,270.39/x
  3. Step 3: Cross multiply
    8,161.80x = 11,269.62 × 6,270.39
  4. Step 4: Simplify right side
    8,161.80x = 70,664,912.55
  5. Step 5: Solve for x
    x = 70,664,912.55/8,161.80
  6. Step 6: Final answer
    x = 8,658.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.