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Finding the Fourth Proportional to 11,197.01, 16,797.34 and 3,404

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Solution

The fourth proportional to 11,197.01, 16,797.34 and 3,404 is: 5,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.01 : 16,797.34 = 3,404 : x
  2. Step 2: Convert to fraction form
    11,197.01/16,797.34 = 3,404/x
  3. Step 3: Cross multiply
    11,197.01x = 16,797.34 × 3,404
  4. Step 4: Simplify right side
    11,197.01x = 57,178,145.36
  5. Step 5: Solve for x
    x = 57,178,145.36/11,197.01
  6. Step 6: Final answer
    x = 5,106.55

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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.