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Finding the Fourth Proportional to 10,196.85, 15,297.84 and 3,957.30

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Solution

The fourth proportional to 10,196.85, 15,297.84 and 3,957.30 is: 5,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.85 : 15,297.84 = 3,957.30 : x
  2. Step 2: Convert to fraction form
    10,196.85/15,297.84 = 3,957.30/x
  3. Step 3: Cross multiply
    10,196.85x = 15,297.84 × 3,957.30
  4. Step 4: Simplify right side
    10,196.85x = 60,538,142.23
  5. Step 5: Solve for x
    x = 60,538,142.23/10,196.85
  6. Step 6: Final answer
    x = 5,936.95

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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.