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Finding the Fourth Proportional to 11,229.63, 16,834.24 and 7,057

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Solution

The fourth proportional to 11,229.63, 16,834.24 and 7,057 is: 10,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.63 : 16,834.24 = 7,057 : x
  2. Step 2: Convert to fraction form
    11,229.63/16,834.24 = 7,057/x
  3. Step 3: Cross multiply
    11,229.63x = 16,834.24 × 7,057
  4. Step 4: Simplify right side
    11,229.63x = 118,799,231.68
  5. Step 5: Solve for x
    x = 118,799,231.68/11,229.63
  6. Step 6: Final answer
    x = 10,579.09

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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.