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Finding the Fourth Proportional to 8,099.96, 11,177.78 and 4,514.93

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Solution

The fourth proportional to 8,099.96, 11,177.78 and 4,514.93 is: 6,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.96 : 11,177.78 = 4,514.93 : x
  2. Step 2: Convert to fraction form
    8,099.96/11,177.78 = 4,514.93/x
  3. Step 3: Cross multiply
    8,099.96x = 11,177.78 × 4,514.93
  4. Step 4: Simplify right side
    8,099.96x = 50,466,933.49
  5. Step 5: Solve for x
    x = 50,466,933.49/8,099.96
  6. Step 6: Final answer
    x = 6,230.51

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