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Finding the Fourth Proportional to 8,099.56, 11,176.68 and 4,514.38

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Solution

The fourth proportional to 8,099.56, 11,176.68 and 4,514.38 is: 6,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.56 : 11,176.68 = 4,514.38 : x
  2. Step 2: Convert to fraction form
    8,099.56/11,176.68 = 4,514.38/x
  3. Step 3: Cross multiply
    8,099.56x = 11,176.68 × 4,514.38
  4. Step 4: Simplify right side
    8,099.56x = 50,455,780.66
  5. Step 5: Solve for x
    x = 50,455,780.66/8,099.56
  6. Step 6: Final answer
    x = 6,229.45

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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.