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Finding the Fourth Proportional to 8,020.12, 12,019.20 and 4,511.83

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Solution

The fourth proportional to 8,020.12, 12,019.20 and 4,511.83 is: 6,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.12 : 12,019.20 = 4,511.83 : x
  2. Step 2: Convert to fraction form
    8,020.12/12,019.20 = 4,511.83/x
  3. Step 3: Cross multiply
    8,020.12x = 12,019.20 × 4,511.83
  4. Step 4: Simplify right side
    8,020.12x = 54,228,587.14
  5. Step 5: Solve for x
    x = 54,228,587.14/8,020.12
  6. Step 6: Final answer
    x = 6,761.57

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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.