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Finding the Fourth Proportional to 8,146.44, 12,214.18 and 3,761.48

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Solution

The fourth proportional to 8,146.44, 12,214.18 and 3,761.48 is: 5,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.44 : 12,214.18 = 3,761.48 : x
  2. Step 2: Convert to fraction form
    8,146.44/12,214.18 = 3,761.48/x
  3. Step 3: Cross multiply
    8,146.44x = 12,214.18 × 3,761.48
  4. Step 4: Simplify right side
    8,146.44x = 45,943,393.79
  5. Step 5: Solve for x
    x = 45,943,393.79/8,146.44
  6. Step 6: Final answer
    x = 5,639.69

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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.