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Finding the Fourth Proportional to 10,103.70, 15,157.97 and 3,178.20

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Solution

The fourth proportional to 10,103.70, 15,157.97 and 3,178.20 is: 4,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.70 : 15,157.97 = 3,178.20 : x
  2. Step 2: Convert to fraction form
    10,103.70/15,157.97 = 3,178.20/x
  3. Step 3: Cross multiply
    10,103.70x = 15,157.97 × 3,178.20
  4. Step 4: Simplify right side
    10,103.70x = 48,175,060.25
  5. Step 5: Solve for x
    x = 48,175,060.25/10,103.70
  6. Step 6: Final answer
    x = 4,768.06

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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.