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Finding the Fourth Proportional to 8,089.45, 12,134.16 and 2,543.28

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Solution

The fourth proportional to 8,089.45, 12,134.16 and 2,543.28 is: 3,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.45 : 12,134.16 = 2,543.28 : x
  2. Step 2: Convert to fraction form
    8,089.45/12,134.16 = 2,543.28/x
  3. Step 3: Cross multiply
    8,089.45x = 12,134.16 × 2,543.28
  4. Step 4: Simplify right side
    8,089.45x = 30,860,524.12
  5. Step 5: Solve for x
    x = 30,860,524.12/8,089.45
  6. Step 6: Final answer
    x = 3,814.91

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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.