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Finding the Fourth Proportional to 8,176.78, 12,269.60 and 6,331.50

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Solution

The fourth proportional to 8,176.78, 12,269.60 and 6,331.50 is: 9,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.78 : 12,269.60 = 6,331.50 : x
  2. Step 2: Convert to fraction form
    8,176.78/12,269.60 = 6,331.50/x
  3. Step 3: Cross multiply
    8,176.78x = 12,269.60 × 6,331.50
  4. Step 4: Simplify right side
    8,176.78x = 77,684,982.29
  5. Step 5: Solve for x
    x = 77,684,982.29/8,176.78
  6. Step 6: Final answer
    x = 9,500.68

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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.