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Finding the Fourth Proportional to 11,324.80, 16,981.12 and 3,927.07

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Solution

The fourth proportional to 11,324.80, 16,981.12 and 3,927.07 is: 5,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.80 : 16,981.12 = 3,927.07 : x
  2. Step 2: Convert to fraction form
    11,324.80/16,981.12 = 3,927.07/x
  3. Step 3: Cross multiply
    11,324.80x = 16,981.12 × 3,927.07
  4. Step 4: Simplify right side
    11,324.80x = 66,686,046.92
  5. Step 5: Solve for x
    x = 66,686,046.92/11,324.80
  6. Step 6: Final answer
    x = 5,888.50

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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.