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Finding the Fourth Proportional to 8,181.46, 11,211.74 and 7,394.14

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Solution

The fourth proportional to 8,181.46, 11,211.74 and 7,394.14 is: 10,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.46 : 11,211.74 = 7,394.14 : x
  2. Step 2: Convert to fraction form
    8,181.46/11,211.74 = 7,394.14/x
  3. Step 3: Cross multiply
    8,181.46x = 11,211.74 × 7,394.14
  4. Step 4: Simplify right side
    8,181.46x = 82,901,175.20
  5. Step 5: Solve for x
    x = 82,901,175.20/8,181.46
  6. Step 6: Final answer
    x = 10,132.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.