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Finding the Fourth Proportional to 11,324.34, 16,981.92 and 3,927.24

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Solution

The fourth proportional to 11,324.34, 16,981.92 and 3,927.24 is: 5,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.34 : 16,981.92 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    11,324.34/16,981.92 = 3,927.24/x
  3. Step 3: Cross multiply
    11,324.34x = 16,981.92 × 3,927.24
  4. Step 4: Simplify right side
    11,324.34x = 66,692,075.50
  5. Step 5: Solve for x
    x = 66,692,075.50/11,324.34
  6. Step 6: Final answer
    x = 5,889.27

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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.