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Finding the Fourth Proportional to 8,144.46, 12,214.40 and 3,145.68

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Solution

The fourth proportional to 8,144.46, 12,214.40 and 3,145.68 is: 4,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.46 : 12,214.40 = 3,145.68 : x
  2. Step 2: Convert to fraction form
    8,144.46/12,214.40 = 3,145.68/x
  3. Step 3: Cross multiply
    8,144.46x = 12,214.40 × 3,145.68
  4. Step 4: Simplify right side
    8,144.46x = 38,422,578.06
  5. Step 5: Solve for x
    x = 38,422,578.06/8,144.46
  6. Step 6: Final answer
    x = 4,717.63

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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.