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Finding the Fourth Proportional to 7,872.75, 11,809.17 and 2,028.96

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Solution

The fourth proportional to 7,872.75, 11,809.17 and 2,028.96 is: 3,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.75 : 11,809.17 = 2,028.96 : x
  2. Step 2: Convert to fraction form
    7,872.75/11,809.17 = 2,028.96/x
  3. Step 3: Cross multiply
    7,872.75x = 11,809.17 × 2,028.96
  4. Step 4: Simplify right side
    7,872.75x = 23,960,333.56
  5. Step 5: Solve for x
    x = 23,960,333.56/7,872.75
  6. Step 6: Final answer
    x = 3,043.45

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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.