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Finding the Fourth Proportional to 11,494.05, 15,861.20 and 6,458.49

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Solution

The fourth proportional to 11,494.05, 15,861.20 and 6,458.49 is: 8,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.05 : 15,861.20 = 6,458.49 : x
  2. Step 2: Convert to fraction form
    11,494.05/15,861.20 = 6,458.49/x
  3. Step 3: Cross multiply
    11,494.05x = 15,861.20 × 6,458.49
  4. Step 4: Simplify right side
    11,494.05x = 102,439,369.30
  5. Step 5: Solve for x
    x = 102,439,369.30/11,494.05
  6. Step 6: Final answer
    x = 8,912.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.