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Finding the Fourth Proportional to 8,449.38, 11,644.68 and 5,611.74

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Solution

The fourth proportional to 8,449.38, 11,644.68 and 5,611.74 is: 7,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.38 : 11,644.68 = 5,611.74 : x
  2. Step 2: Convert to fraction form
    8,449.38/11,644.68 = 5,611.74/x
  3. Step 3: Cross multiply
    8,449.38x = 11,644.68 × 5,611.74
  4. Step 4: Simplify right side
    8,449.38x = 65,346,916.54
  5. Step 5: Solve for x
    x = 65,346,916.54/8,449.38
  6. Step 6: Final answer
    x = 7,733.93

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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.