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Finding the Fourth Proportional to 8,593, 11,858.34 and 4,867

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Solution

The fourth proportional to 8,593, 11,858.34 and 4,867 is: 6,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593 : 11,858.34 = 4,867 : x
  2. Step 2: Convert to fraction form
    8,593/11,858.34 = 4,867/x
  3. Step 3: Cross multiply
    8,593x = 11,858.34 × 4,867
  4. Step 4: Simplify right side
    8,593x = 57,714,540.78
  5. Step 5: Solve for x
    x = 57,714,540.78/8,593
  6. Step 6: Final answer
    x = 6,716.46

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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.