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Finding the Fourth Proportional to 8,192.75, 12,289.14 and 5,418.90

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Solution

The fourth proportional to 8,192.75, 12,289.14 and 5,418.90 is: 8,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.75 : 12,289.14 = 5,418.90 : x
  2. Step 2: Convert to fraction form
    8,192.75/12,289.14 = 5,418.90/x
  3. Step 3: Cross multiply
    8,192.75x = 12,289.14 × 5,418.90
  4. Step 4: Simplify right side
    8,192.75x = 66,593,620.75
  5. Step 5: Solve for x
    x = 66,593,620.75/8,192.75
  6. Step 6: Final answer
    x = 8,128.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.