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Finding the Fourth Proportional to 7,857.73, 11,787.29 and 2,014.34

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Solution

The fourth proportional to 7,857.73, 11,787.29 and 2,014.34 is: 3,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.73 : 11,787.29 = 2,014.34 : x
  2. Step 2: Convert to fraction form
    7,857.73/11,787.29 = 2,014.34/x
  3. Step 3: Cross multiply
    7,857.73x = 11,787.29 × 2,014.34
  4. Step 4: Simplify right side
    7,857.73x = 23,743,609.74
  5. Step 5: Solve for x
    x = 23,743,609.74/7,857.73
  6. Step 6: Final answer
    x = 3,021.69

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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.