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Finding the Fourth Proportional to 7,141.75, 10,717.49 and 2,524.75

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Solution

The fourth proportional to 7,141.75, 10,717.49 and 2,524.75 is: 3,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.75 : 10,717.49 = 2,524.75 : x
  2. Step 2: Convert to fraction form
    7,141.75/10,717.49 = 2,524.75/x
  3. Step 3: Cross multiply
    7,141.75x = 10,717.49 × 2,524.75
  4. Step 4: Simplify right side
    7,141.75x = 27,058,982.88
  5. Step 5: Solve for x
    x = 27,058,982.88/7,141.75
  6. Step 6: Final answer
    x = 3,788.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.