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Finding the Fourth Proportional to 8,874.14, 13,310.17 and 2,299.82

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Solution

The fourth proportional to 8,874.14, 13,310.17 and 2,299.82 is: 3,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.14 : 13,310.17 = 2,299.82 : x
  2. Step 2: Convert to fraction form
    8,874.14/13,310.17 = 2,299.82/x
  3. Step 3: Cross multiply
    8,874.14x = 13,310.17 × 2,299.82
  4. Step 4: Simplify right side
    8,874.14x = 30,610,922.87
  5. Step 5: Solve for x
    x = 30,610,922.87/8,874.14
  6. Step 6: Final answer
    x = 3,449.45

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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.