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Finding the Fourth Proportional to 11,324, 16,974.24 and 4,754.24

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Solution

The fourth proportional to 11,324, 16,974.24 and 4,754.24 is: 7,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324 : 16,974.24 = 4,754.24 : x
  2. Step 2: Convert to fraction form
    11,324/16,974.24 = 4,754.24/x
  3. Step 3: Cross multiply
    11,324x = 16,974.24 × 4,754.24
  4. Step 4: Simplify right side
    11,324x = 80,699,610.78
  5. Step 5: Solve for x
    x = 80,699,610.78/11,324
  6. Step 6: Final answer
    x = 7,126.42

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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.