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Finding the Fourth Proportional to 11,448.03, 17,163.81 and 5,204.91

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Solution

The fourth proportional to 11,448.03, 17,163.81 and 5,204.91 is: 7,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.03 : 17,163.81 = 5,204.91 : x
  2. Step 2: Convert to fraction form
    11,448.03/17,163.81 = 5,204.91/x
  3. Step 3: Cross multiply
    11,448.03x = 17,163.81 × 5,204.91
  4. Step 4: Simplify right side
    11,448.03x = 89,336,086.31
  5. Step 5: Solve for x
    x = 89,336,086.31/11,448.03
  6. Step 6: Final answer
    x = 7,803.62

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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.