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Finding the Fourth Proportional to 11,224.36, 16,834.72 and 5,301.24

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Solution

The fourth proportional to 11,224.36, 16,834.72 and 5,301.24 is: 7,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.36 : 16,834.72 = 5,301.24 : x
  2. Step 2: Convert to fraction form
    11,224.36/16,834.72 = 5,301.24/x
  3. Step 3: Cross multiply
    11,224.36x = 16,834.72 × 5,301.24
  4. Step 4: Simplify right side
    11,224.36x = 89,244,891.05
  5. Step 5: Solve for x
    x = 89,244,891.05/11,224.36
  6. Step 6: Final answer
    x = 7,951.00

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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.