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Finding the Fourth Proportional to 7,914.56, 11,861.22 and 6,161.72

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Solution

The fourth proportional to 7,914.56, 11,861.22 and 6,161.72 is: 9,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.56 : 11,861.22 = 6,161.72 : x
  2. Step 2: Convert to fraction form
    7,914.56/11,861.22 = 6,161.72/x
  3. Step 3: Cross multiply
    7,914.56x = 11,861.22 × 6,161.72
  4. Step 4: Simplify right side
    7,914.56x = 73,085,516.50
  5. Step 5: Solve for x
    x = 73,085,516.50/7,914.56
  6. Step 6: Final answer
    x = 9,234.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.