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Finding the Fourth Proportional to 11,629.57, 17,448.99 and 4,234.54

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Solution

The fourth proportional to 11,629.57, 17,448.99 and 4,234.54 is: 6,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.57 : 17,448.99 = 4,234.54 : x
  2. Step 2: Convert to fraction form
    11,629.57/17,448.99 = 4,234.54/x
  3. Step 3: Cross multiply
    11,629.57x = 17,448.99 × 4,234.54
  4. Step 4: Simplify right side
    11,629.57x = 73,888,446.11
  5. Step 5: Solve for x
    x = 73,888,446.11/11,629.57
  6. Step 6: Final answer
    x = 6,353.50

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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.