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Finding the Fourth Proportional to 11,195.21, 16,793.19 and 3,404

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Solution

The fourth proportional to 11,195.21, 16,793.19 and 3,404 is: 5,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.21 : 16,793.19 = 3,404 : x
  2. Step 2: Convert to fraction form
    11,195.21/16,793.19 = 3,404/x
  3. Step 3: Cross multiply
    11,195.21x = 16,793.19 × 3,404
  4. Step 4: Simplify right side
    11,195.21x = 57,164,018.76
  5. Step 5: Solve for x
    x = 57,164,018.76/11,195.21
  6. Step 6: Final answer
    x = 5,106.11

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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.