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Finding the Fourth Proportional to 8,228.75, 12,314.39 and 6,730.65

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Solution

The fourth proportional to 8,228.75, 12,314.39 and 6,730.65 is: 10,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.75 : 12,314.39 = 6,730.65 : x
  2. Step 2: Convert to fraction form
    8,228.75/12,314.39 = 6,730.65/x
  3. Step 3: Cross multiply
    8,228.75x = 12,314.39 × 6,730.65
  4. Step 4: Simplify right side
    8,228.75x = 82,883,815.40
  5. Step 5: Solve for x
    x = 82,883,815.40/8,228.75
  6. Step 6: Final answer
    x = 10,072.47

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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.