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Finding the Fourth Proportional to 8,089.26, 12,134.10 and 2,245.86

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Solution

The fourth proportional to 8,089.26, 12,134.10 and 2,245.86 is: 3,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.26 : 12,134.10 = 2,245.86 : x
  2. Step 2: Convert to fraction form
    8,089.26/12,134.10 = 2,245.86/x
  3. Step 3: Cross multiply
    8,089.26x = 12,134.10 × 2,245.86
  4. Step 4: Simplify right side
    8,089.26x = 27,251,489.83
  5. Step 5: Solve for x
    x = 27,251,489.83/8,089.26
  6. Step 6: Final answer
    x = 3,368.85

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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.