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Finding the Fourth Proportional to 11,186, 16,782.66 and 3,394.82

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Solution

The fourth proportional to 11,186, 16,782.66 and 3,394.82 is: 5,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186 : 16,782.66 = 3,394.82 : x
  2. Step 2: Convert to fraction form
    11,186/16,782.66 = 3,394.82/x
  3. Step 3: Cross multiply
    11,186x = 16,782.66 × 3,394.82
  4. Step 4: Simplify right side
    11,186x = 56,974,109.82
  5. Step 5: Solve for x
    x = 56,974,109.82/11,186
  6. Step 6: Final answer
    x = 5,093.34

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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.