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Finding the Fourth Proportional to 11,404.50, 17,092.70 and 8,099.70

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Solution

The fourth proportional to 11,404.50, 17,092.70 and 8,099.70 is: 12,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.50 : 17,092.70 = 8,099.70 : x
  2. Step 2: Convert to fraction form
    11,404.50/17,092.70 = 8,099.70/x
  3. Step 3: Cross multiply
    11,404.50x = 17,092.70 × 8,099.70
  4. Step 4: Simplify right side
    11,404.50x = 138,445,742.19
  5. Step 5: Solve for x
    x = 138,445,742.19/11,404.50
  6. Step 6: Final answer
    x = 12,139.57

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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.