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Finding the Fourth Proportional to 10,205.93, 15,304.55 and 3,879.73

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Solution

The fourth proportional to 10,205.93, 15,304.55 and 3,879.73 is: 5,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.93 : 15,304.55 = 3,879.73 : x
  2. Step 2: Convert to fraction form
    10,205.93/15,304.55 = 3,879.73/x
  3. Step 3: Cross multiply
    10,205.93x = 15,304.55 × 3,879.73
  4. Step 4: Simplify right side
    10,205.93x = 59,377,521.50
  5. Step 5: Solve for x
    x = 59,377,521.50/10,205.93
  6. Step 6: Final answer
    x = 5,817.94

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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.