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Finding the Fourth Proportional to 10,229.21, 15,343.80 and 4,073.21

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Solution

The fourth proportional to 10,229.21, 15,343.80 and 4,073.21 is: 6,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.21 : 15,343.80 = 4,073.21 : x
  2. Step 2: Convert to fraction form
    10,229.21/15,343.80 = 4,073.21/x
  3. Step 3: Cross multiply
    10,229.21x = 15,343.80 × 4,073.21
  4. Step 4: Simplify right side
    10,229.21x = 62,498,519.60
  5. Step 5: Solve for x
    x = 62,498,519.60/10,229.21
  6. Step 6: Final answer
    x = 6,109.81

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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.