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Finding the Fourth Proportional to 8,327.88, 11,493.68 and 4,790.39

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Solution

The fourth proportional to 8,327.88, 11,493.68 and 4,790.39 is: 6,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.88 : 11,493.68 = 4,790.39 : x
  2. Step 2: Convert to fraction form
    8,327.88/11,493.68 = 4,790.39/x
  3. Step 3: Cross multiply
    8,327.88x = 11,493.68 × 4,790.39
  4. Step 4: Simplify right side
    8,327.88x = 55,059,128.31
  5. Step 5: Solve for x
    x = 55,059,128.31/8,327.88
  6. Step 6: Final answer
    x = 6,611.42

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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.