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Finding the Fourth Proportional to 11,469.87, 17,210.07 and 6,799.14

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Solution

The fourth proportional to 11,469.87, 17,210.07 and 6,799.14 is: 10,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.87 : 17,210.07 = 6,799.14 : x
  2. Step 2: Convert to fraction form
    11,469.87/17,210.07 = 6,799.14/x
  3. Step 3: Cross multiply
    11,469.87x = 17,210.07 × 6,799.14
  4. Step 4: Simplify right side
    11,469.87x = 117,013,675.34
  5. Step 5: Solve for x
    x = 117,013,675.34/11,469.87
  6. Step 6: Final answer
    x = 10,201.83

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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.