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Finding the Fourth Proportional to 11,167.50, 16,729.34 and 6,477.66

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Solution

The fourth proportional to 11,167.50, 16,729.34 and 6,477.66 is: 9,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.50 : 16,729.34 = 6,477.66 : x
  2. Step 2: Convert to fraction form
    11,167.50/16,729.34 = 6,477.66/x
  3. Step 3: Cross multiply
    11,167.50x = 16,729.34 × 6,477.66
  4. Step 4: Simplify right side
    11,167.50x = 108,366,976.54
  5. Step 5: Solve for x
    x = 108,366,976.54/11,167.50
  6. Step 6: Final answer
    x = 9,703.78

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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.