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Finding the Fourth Proportional to 8,283.69, 12,428.57 and 3,843.47

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Solution

The fourth proportional to 8,283.69, 12,428.57 and 3,843.47 is: 5,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.69 : 12,428.57 = 3,843.47 : x
  2. Step 2: Convert to fraction form
    8,283.69/12,428.57 = 3,843.47/x
  3. Step 3: Cross multiply
    8,283.69x = 12,428.57 × 3,843.47
  4. Step 4: Simplify right side
    8,283.69x = 47,768,876.62
  5. Step 5: Solve for x
    x = 47,768,876.62/8,283.69
  6. Step 6: Final answer
    x = 5,766.62

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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.