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Finding the Fourth Proportional to 7,882.44, 11,820.84 and 2,334.24

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Solution

The fourth proportional to 7,882.44, 11,820.84 and 2,334.24 is: 3,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.44 : 11,820.84 = 2,334.24 : x
  2. Step 2: Convert to fraction form
    7,882.44/11,820.84 = 2,334.24/x
  3. Step 3: Cross multiply
    7,882.44x = 11,820.84 × 2,334.24
  4. Step 4: Simplify right side
    7,882.44x = 27,592,677.56
  5. Step 5: Solve for x
    x = 27,592,677.56/7,882.44
  6. Step 6: Final answer
    x = 3,500.52

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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.