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Finding the Fourth Proportional to 11,181.87, 15,404.31 and 7,818.39

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Solution

The fourth proportional to 11,181.87, 15,404.31 and 7,818.39 is: 10,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.87 : 15,404.31 = 7,818.39 : x
  2. Step 2: Convert to fraction form
    11,181.87/15,404.31 = 7,818.39/x
  3. Step 3: Cross multiply
    11,181.87x = 15,404.31 × 7,818.39
  4. Step 4: Simplify right side
    11,181.87x = 120,436,903.26
  5. Step 5: Solve for x
    x = 120,436,903.26/11,181.87
  6. Step 6: Final answer
    x = 10,770.73

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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.