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Finding the Fourth Proportional to 8,101.26, 12,151.89 and 5,638.86

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Solution

The fourth proportional to 8,101.26, 12,151.89 and 5,638.86 is: 8,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.26 : 12,151.89 = 5,638.86 : x
  2. Step 2: Convert to fraction form
    8,101.26/12,151.89 = 5,638.86/x
  3. Step 3: Cross multiply
    8,101.26x = 12,151.89 × 5,638.86
  4. Step 4: Simplify right side
    8,101.26x = 68,522,806.45
  5. Step 5: Solve for x
    x = 68,522,806.45/8,101.26
  6. Step 6: Final answer
    x = 8,458.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.