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Finding the Fourth Proportional to 11,299.50, 16,934.67 and 6,371.46

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Solution

The fourth proportional to 11,299.50, 16,934.67 and 6,371.46 is: 9,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.50 : 16,934.67 = 6,371.46 : x
  2. Step 2: Convert to fraction form
    11,299.50/16,934.67 = 6,371.46/x
  3. Step 3: Cross multiply
    11,299.50x = 16,934.67 × 6,371.46
  4. Step 4: Simplify right side
    11,299.50x = 107,898,572.52
  5. Step 5: Solve for x
    x = 107,898,572.52/11,299.50
  6. Step 6: Final answer
    x = 9,548.97

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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.