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Finding the Fourth Proportional to 8,101.89, 11,179.76 and 4,516.39

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Solution

The fourth proportional to 8,101.89, 11,179.76 and 4,516.39 is: 6,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.89 : 11,179.76 = 4,516.39 : x
  2. Step 2: Convert to fraction form
    8,101.89/11,179.76 = 4,516.39/x
  3. Step 3: Cross multiply
    8,101.89x = 11,179.76 × 4,516.39
  4. Step 4: Simplify right side
    8,101.89x = 50,492,147.66
  5. Step 5: Solve for x
    x = 50,492,147.66/8,101.89
  6. Step 6: Final answer
    x = 6,232.14

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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.