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Finding the Fourth Proportional to 10,420.44, 15,659.82 and 5,229.96

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Solution

The fourth proportional to 10,420.44, 15,659.82 and 5,229.96 is: 7,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.44 : 15,659.82 = 5,229.96 : x
  2. Step 2: Convert to fraction form
    10,420.44/15,659.82 = 5,229.96/x
  3. Step 3: Cross multiply
    10,420.44x = 15,659.82 × 5,229.96
  4. Step 4: Simplify right side
    10,420.44x = 81,900,232.21
  5. Step 5: Solve for x
    x = 81,900,232.21/10,420.44
  6. Step 6: Final answer
    x = 7,859.58

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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.