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Finding the Fourth Proportional to 7,954.44, 11,932.22 and 2,111

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Solution

The fourth proportional to 7,954.44, 11,932.22 and 2,111 is: 3,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.44 : 11,932.22 = 2,111 : x
  2. Step 2: Convert to fraction form
    7,954.44/11,932.22 = 2,111/x
  3. Step 3: Cross multiply
    7,954.44x = 11,932.22 × 2,111
  4. Step 4: Simplify right side
    7,954.44x = 25,188,916.42
  5. Step 5: Solve for x
    x = 25,188,916.42/7,954.44
  6. Step 6: Final answer
    x = 3,166.65

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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.