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Finding the Fourth Proportional to 8,121.97, 12,187.97 and 3,190.74

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Solution

The fourth proportional to 8,121.97, 12,187.97 and 3,190.74 is: 4,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.97 : 12,187.97 = 3,190.74 : x
  2. Step 2: Convert to fraction form
    8,121.97/12,187.97 = 3,190.74/x
  3. Step 3: Cross multiply
    8,121.97x = 12,187.97 × 3,190.74
  4. Step 4: Simplify right side
    8,121.97x = 38,888,662.26
  5. Step 5: Solve for x
    x = 38,888,662.26/8,121.97
  6. Step 6: Final answer
    x = 4,788.08

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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.