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Finding the Fourth Proportional to 10,922.67, 16,368.14 and 5,920.81

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Solution

The fourth proportional to 10,922.67, 16,368.14 and 5,920.81 is: 8,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.67 : 16,368.14 = 5,920.81 : x
  2. Step 2: Convert to fraction form
    10,922.67/16,368.14 = 5,920.81/x
  3. Step 3: Cross multiply
    10,922.67x = 16,368.14 × 5,920.81
  4. Step 4: Simplify right side
    10,922.67x = 96,912,620.88
  5. Step 5: Solve for x
    x = 96,912,620.88/10,922.67
  6. Step 6: Final answer
    x = 8,872.61

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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.