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Finding the Fourth Proportional to 8,272.86, 12,396.30 and 7,229.58

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Solution

The fourth proportional to 8,272.86, 12,396.30 and 7,229.58 is: 10,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.86 : 12,396.30 = 7,229.58 : x
  2. Step 2: Convert to fraction form
    8,272.86/12,396.30 = 7,229.58/x
  3. Step 3: Cross multiply
    8,272.86x = 12,396.30 × 7,229.58
  4. Step 4: Simplify right side
    8,272.86x = 89,620,042.55
  5. Step 5: Solve for x
    x = 89,620,042.55/8,272.86
  6. Step 6: Final answer
    x = 10,833.02

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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.