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Finding the Fourth Proportional to 7,893.68, 11,837.74 and 2,627.26

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Solution

The fourth proportional to 7,893.68, 11,837.74 and 2,627.26 is: 3,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.68 : 11,837.74 = 2,627.26 : x
  2. Step 2: Convert to fraction form
    7,893.68/11,837.74 = 2,627.26/x
  3. Step 3: Cross multiply
    7,893.68x = 11,837.74 × 2,627.26
  4. Step 4: Simplify right side
    7,893.68x = 31,100,820.79
  5. Step 5: Solve for x
    x = 31,100,820.79/7,893.68
  6. Step 6: Final answer
    x = 3,939.96

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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.