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Finding the Fourth Proportional to 7,882.56, 11,819.52 and 2,334.24

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Solution

The fourth proportional to 7,882.56, 11,819.52 and 2,334.24 is: 3,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.56 : 11,819.52 = 2,334.24 : x
  2. Step 2: Convert to fraction form
    7,882.56/11,819.52 = 2,334.24/x
  3. Step 3: Cross multiply
    7,882.56x = 11,819.52 × 2,334.24
  4. Step 4: Simplify right side
    7,882.56x = 27,589,596.36
  5. Step 5: Solve for x
    x = 27,589,596.36/7,882.56
  6. Step 6: Final answer
    x = 3,500.08

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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.