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Finding the Fourth Proportional to 8,049.23, 12,077.17 and 3,543.98

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Solution

The fourth proportional to 8,049.23, 12,077.17 and 3,543.98 is: 5,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.23 : 12,077.17 = 3,543.98 : x
  2. Step 2: Convert to fraction form
    8,049.23/12,077.17 = 3,543.98/x
  3. Step 3: Cross multiply
    8,049.23x = 12,077.17 × 3,543.98
  4. Step 4: Simplify right side
    8,049.23x = 42,801,188.55
  5. Step 5: Solve for x
    x = 42,801,188.55/8,049.23
  6. Step 6: Final answer
    x = 5,317.43

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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.