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Finding the Fourth Proportional to 7,105.50, 10,659.36 and 2,174.72

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Solution

The fourth proportional to 7,105.50, 10,659.36 and 2,174.72 is: 3,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.50 : 10,659.36 = 2,174.72 : x
  2. Step 2: Convert to fraction form
    7,105.50/10,659.36 = 2,174.72/x
  3. Step 3: Cross multiply
    7,105.50x = 10,659.36 × 2,174.72
  4. Step 4: Simplify right side
    7,105.50x = 23,181,123.38
  5. Step 5: Solve for x
    x = 23,181,123.38/7,105.50
  6. Step 6: Final answer
    x = 3,262.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.