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Finding the Fourth Proportional to 7,883.42, 11,819.21 and 3,721.06

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Solution

The fourth proportional to 7,883.42, 11,819.21 and 3,721.06 is: 5,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.42 : 11,819.21 = 3,721.06 : x
  2. Step 2: Convert to fraction form
    7,883.42/11,819.21 = 3,721.06/x
  3. Step 3: Cross multiply
    7,883.42x = 11,819.21 × 3,721.06
  4. Step 4: Simplify right side
    7,883.42x = 43,979,989.56
  5. Step 5: Solve for x
    x = 43,979,989.56/7,883.42
  6. Step 6: Final answer
    x = 5,578.80

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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.