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Finding the Fourth Proportional to 8,212.04, 12,321.66 and 3,019.40

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Solution

The fourth proportional to 8,212.04, 12,321.66 and 3,019.40 is: 4,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.04 : 12,321.66 = 3,019.40 : x
  2. Step 2: Convert to fraction form
    8,212.04/12,321.66 = 3,019.40/x
  3. Step 3: Cross multiply
    8,212.04x = 12,321.66 × 3,019.40
  4. Step 4: Simplify right side
    8,212.04x = 37,204,020.20
  5. Step 5: Solve for x
    x = 37,204,020.20/8,212.04
  6. Step 6: Final answer
    x = 4,530.42

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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.