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Finding the Fourth Proportional to 8,212.19, 12,318.78 and 5,578.58

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Solution

The fourth proportional to 8,212.19, 12,318.78 and 5,578.58 is: 8,368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.19 : 12,318.78 = 5,578.58 : x
  2. Step 2: Convert to fraction form
    8,212.19/12,318.78 = 5,578.58/x
  3. Step 3: Cross multiply
    8,212.19x = 12,318.78 × 5,578.58
  4. Step 4: Simplify right side
    8,212.19x = 68,721,299.73
  5. Step 5: Solve for x
    x = 68,721,299.73/8,212.19
  6. Step 6: Final answer
    x = 8,368.21

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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.