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Finding the Fourth Proportional to 6,861.65, 10,296.80 and 3,577.05

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Solution

The fourth proportional to 6,861.65, 10,296.80 and 3,577.05 is: 5,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.65 : 10,296.80 = 3,577.05 : x
  2. Step 2: Convert to fraction form
    6,861.65/10,296.80 = 3,577.05/x
  3. Step 3: Cross multiply
    6,861.65x = 10,296.80 × 3,577.05
  4. Step 4: Simplify right side
    6,861.65x = 36,832,168.44
  5. Step 5: Solve for x
    x = 36,832,168.44/6,861.65
  6. Step 6: Final answer
    x = 5,367.83

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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.