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Finding the Fourth Proportional to 8,093.18, 12,125.82 and 3,927.44

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Solution

The fourth proportional to 8,093.18, 12,125.82 and 3,927.44 is: 5,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.18 : 12,125.82 = 3,927.44 : x
  2. Step 2: Convert to fraction form
    8,093.18/12,125.82 = 3,927.44/x
  3. Step 3: Cross multiply
    8,093.18x = 12,125.82 × 3,927.44
  4. Step 4: Simplify right side
    8,093.18x = 47,623,430.50
  5. Step 5: Solve for x
    x = 47,623,430.50/8,093.18
  6. Step 6: Final answer
    x = 5,884.39

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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.