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Finding the Fourth Proportional to 8,336.86, 12,505.29 and 4,181.97

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Solution

The fourth proportional to 8,336.86, 12,505.29 and 4,181.97 is: 6,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.86 : 12,505.29 = 4,181.97 : x
  2. Step 2: Convert to fraction form
    8,336.86/12,505.29 = 4,181.97/x
  3. Step 3: Cross multiply
    8,336.86x = 12,505.29 × 4,181.97
  4. Step 4: Simplify right side
    8,336.86x = 52,296,747.62
  5. Step 5: Solve for x
    x = 52,296,747.62/8,336.86
  6. Step 6: Final answer
    x = 6,272.96

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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.