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Finding the Fourth Proportional to 8,007.14, 12,016.83 and 3,627.68

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Solution

The fourth proportional to 8,007.14, 12,016.83 and 3,627.68 is: 5,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.14 : 12,016.83 = 3,627.68 : x
  2. Step 2: Convert to fraction form
    8,007.14/12,016.83 = 3,627.68/x
  3. Step 3: Cross multiply
    8,007.14x = 12,016.83 × 3,627.68
  4. Step 4: Simplify right side
    8,007.14x = 43,593,153.77
  5. Step 5: Solve for x
    x = 43,593,153.77/8,007.14
  6. Step 6: Final answer
    x = 5,444.29

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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.