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Finding the Fourth Proportional to 10,670.70, 16,003.84 and 3,174.30

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Solution

The fourth proportional to 10,670.70, 16,003.84 and 3,174.30 is: 4,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.70 : 16,003.84 = 3,174.30 : x
  2. Step 2: Convert to fraction form
    10,670.70/16,003.84 = 3,174.30/x
  3. Step 3: Cross multiply
    10,670.70x = 16,003.84 × 3,174.30
  4. Step 4: Simplify right side
    10,670.70x = 50,800,981.38
  5. Step 5: Solve for x
    x = 50,800,981.38/10,670.70
  6. Step 6: Final answer
    x = 4,760.79

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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.