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Finding the Fourth Proportional to 7,174.97, 10,764.02 and 3,012.61

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Solution

The fourth proportional to 7,174.97, 10,764.02 and 3,012.61 is: 4,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.97 : 10,764.02 = 3,012.61 : x
  2. Step 2: Convert to fraction form
    7,174.97/10,764.02 = 3,012.61/x
  3. Step 3: Cross multiply
    7,174.97x = 10,764.02 × 3,012.61
  4. Step 4: Simplify right side
    7,174.97x = 32,427,774.91
  5. Step 5: Solve for x
    x = 32,427,774.91/7,174.97
  6. Step 6: Final answer
    x = 4,519.57

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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.