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Finding the Fourth Proportional to 10,174.88, 15,232.68 and 6,267.44

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Solution

The fourth proportional to 10,174.88, 15,232.68 and 6,267.44 is: 9,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.88 : 15,232.68 = 6,267.44 : x
  2. Step 2: Convert to fraction form
    10,174.88/15,232.68 = 6,267.44/x
  3. Step 3: Cross multiply
    10,174.88x = 15,232.68 × 6,267.44
  4. Step 4: Simplify right side
    10,174.88x = 95,469,907.94
  5. Step 5: Solve for x
    x = 95,469,907.94/10,174.88
  6. Step 6: Final answer
    x = 9,382.90

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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.