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Finding the Fourth Proportional to 11,859, 17,794.98 and 5,703

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Solution

The fourth proportional to 11,859, 17,794.98 and 5,703 is: 8,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859 : 17,794.98 = 5,703 : x
  2. Step 2: Convert to fraction form
    11,859/17,794.98 = 5,703/x
  3. Step 3: Cross multiply
    11,859x = 17,794.98 × 5,703
  4. Step 4: Simplify right side
    11,859x = 101,484,770.94
  5. Step 5: Solve for x
    x = 101,484,770.94/11,859
  6. Step 6: Final answer
    x = 8,557.62

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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.