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Finding the Fourth Proportional to 11,102.68, 16,645.83 and 6,719.17

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Solution

The fourth proportional to 11,102.68, 16,645.83 and 6,719.17 is: 10,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.68 : 16,645.83 = 6,719.17 : x
  2. Step 2: Convert to fraction form
    11,102.68/16,645.83 = 6,719.17/x
  3. Step 3: Cross multiply
    11,102.68x = 16,645.83 × 6,719.17
  4. Step 4: Simplify right side
    11,102.68x = 111,846,161.56
  5. Step 5: Solve for x
    x = 111,846,161.56/11,102.68
  6. Step 6: Final answer
    x = 10,073.80

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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.