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Finding the Fourth Proportional to 10,154.78, 15,234.57 and 3,229.28

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Solution

The fourth proportional to 10,154.78, 15,234.57 and 3,229.28 is: 4,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.78 : 15,234.57 = 3,229.28 : x
  2. Step 2: Convert to fraction form
    10,154.78/15,234.57 = 3,229.28/x
  3. Step 3: Cross multiply
    10,154.78x = 15,234.57 × 3,229.28
  4. Step 4: Simplify right side
    10,154.78x = 49,196,692.21
  5. Step 5: Solve for x
    x = 49,196,692.21/10,154.78
  6. Step 6: Final answer
    x = 4,844.68

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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.