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Finding the Fourth Proportional to 10,078.53, 15,115.82 and 9,578.44

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Solution

The fourth proportional to 10,078.53, 15,115.82 and 9,578.44 is: 14,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.53 : 15,115.82 = 9,578.44 : x
  2. Step 2: Convert to fraction form
    10,078.53/15,115.82 = 9,578.44/x
  3. Step 3: Cross multiply
    10,078.53x = 15,115.82 × 9,578.44
  4. Step 4: Simplify right side
    10,078.53x = 144,785,974.92
  5. Step 5: Solve for x
    x = 144,785,974.92/10,078.53
  6. Step 6: Final answer
    x = 14,365.78

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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.