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Finding the Fourth Proportional to 11,199.42, 16,801.92 and 3,407.76

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Solution

The fourth proportional to 11,199.42, 16,801.92 and 3,407.76 is: 5,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.42 : 16,801.92 = 3,407.76 : x
  2. Step 2: Convert to fraction form
    11,199.42/16,801.92 = 3,407.76/x
  3. Step 3: Cross multiply
    11,199.42x = 16,801.92 × 3,407.76
  4. Step 4: Simplify right side
    11,199.42x = 57,256,910.90
  5. Step 5: Solve for x
    x = 57,256,910.90/11,199.42
  6. Step 6: Final answer
    x = 5,112.49

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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.