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Finding the Fourth Proportional to 11,494.80, 17,243.55 and 4,100.31

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Solution

The fourth proportional to 11,494.80, 17,243.55 and 4,100.31 is: 6,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.80 : 17,243.55 = 4,100.31 : x
  2. Step 2: Convert to fraction form
    11,494.80/17,243.55 = 4,100.31/x
  3. Step 3: Cross multiply
    11,494.80x = 17,243.55 × 4,100.31
  4. Step 4: Simplify right side
    11,494.80x = 70,703,900.50
  5. Step 5: Solve for x
    x = 70,703,900.50/11,494.80
  6. Step 6: Final answer
    x = 6,150.95

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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.