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Finding the Fourth Proportional to 10,974.36, 16,451.82 and 4,047.24

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Solution

The fourth proportional to 10,974.36, 16,451.82 and 4,047.24 is: 6,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.36 : 16,451.82 = 4,047.24 : x
  2. Step 2: Convert to fraction form
    10,974.36/16,451.82 = 4,047.24/x
  3. Step 3: Cross multiply
    10,974.36x = 16,451.82 × 4,047.24
  4. Step 4: Simplify right side
    10,974.36x = 66,584,463.98
  5. Step 5: Solve for x
    x = 66,584,463.98/10,974.36
  6. Step 6: Final answer
    x = 6,067.28

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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.