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Finding the Fourth Proportional to 11,902.39, 17,854.05 and 3,583.59

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Solution

The fourth proportional to 11,902.39, 17,854.05 and 3,583.59 is: 5,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.39 : 17,854.05 = 3,583.59 : x
  2. Step 2: Convert to fraction form
    11,902.39/17,854.05 = 3,583.59/x
  3. Step 3: Cross multiply
    11,902.39x = 17,854.05 × 3,583.59
  4. Step 4: Simplify right side
    11,902.39x = 63,981,595.04
  5. Step 5: Solve for x
    x = 63,981,595.04/11,902.39
  6. Step 6: Final answer
    x = 5,375.53

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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.