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Finding the Fourth Proportional to 11,728, 17,596.32 and 6,181.12

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Solution

The fourth proportional to 11,728, 17,596.32 and 6,181.12 is: 9,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728 : 17,596.32 = 6,181.12 : x
  2. Step 2: Convert to fraction form
    11,728/17,596.32 = 6,181.12/x
  3. Step 3: Cross multiply
    11,728x = 17,596.32 × 6,181.12
  4. Step 4: Simplify right side
    11,728x = 108,764,965.48
  5. Step 5: Solve for x
    x = 108,764,965.48/11,728
  6. Step 6: Final answer
    x = 9,273.96

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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.