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Finding the Fourth Proportional to 11,489.46, 15,861.50 and 7,732.38

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Solution

The fourth proportional to 11,489.46, 15,861.50 and 7,732.38 is: 10,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.46 : 15,861.50 = 7,732.38 : x
  2. Step 2: Convert to fraction form
    11,489.46/15,861.50 = 7,732.38/x
  3. Step 3: Cross multiply
    11,489.46x = 15,861.50 × 7,732.38
  4. Step 4: Simplify right side
    11,489.46x = 122,647,149.46
  5. Step 5: Solve for x
    x = 122,647,149.46/11,489.46
  6. Step 6: Final answer
    x = 10,674.75

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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.