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Finding the Fourth Proportional to 11,167.56, 15,401.34 and 8,508.60

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Solution

The fourth proportional to 11,167.56, 15,401.34 and 8,508.60 is: 11,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.56 : 15,401.34 = 8,508.60 : x
  2. Step 2: Convert to fraction form
    11,167.56/15,401.34 = 8,508.60/x
  3. Step 3: Cross multiply
    11,167.56x = 15,401.34 × 8,508.60
  4. Step 4: Simplify right side
    11,167.56x = 131,043,841.52
  5. Step 5: Solve for x
    x = 131,043,841.52/11,167.56
  6. Step 6: Final answer
    x = 11,734.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.