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Finding the Fourth Proportional to 8,081.97, 12,129.44 and 4,187.49

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Solution

The fourth proportional to 8,081.97, 12,129.44 and 4,187.49 is: 6,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.97 : 12,129.44 = 4,187.49 : x
  2. Step 2: Convert to fraction form
    8,081.97/12,129.44 = 4,187.49/x
  3. Step 3: Cross multiply
    8,081.97x = 12,129.44 × 4,187.49
  4. Step 4: Simplify right side
    8,081.97x = 50,791,887.77
  5. Step 5: Solve for x
    x = 50,791,887.77/8,081.97
  6. Step 6: Final answer
    x = 6,284.59

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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.