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Finding the Fourth Proportional to 8,325.12, 11,481.05 and 6,508.38

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Solution

The fourth proportional to 8,325.12, 11,481.05 and 6,508.38 is: 8,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.12 : 11,481.05 = 6,508.38 : x
  2. Step 2: Convert to fraction form
    8,325.12/11,481.05 = 6,508.38/x
  3. Step 3: Cross multiply
    8,325.12x = 11,481.05 × 6,508.38
  4. Step 4: Simplify right side
    8,325.12x = 74,723,003.66
  5. Step 5: Solve for x
    x = 74,723,003.66/8,325.12
  6. Step 6: Final answer
    x = 8,975.61

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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.