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Finding the Fourth Proportional to 10,375.20, 15,546.12 and 6,205.20

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Solution

The fourth proportional to 10,375.20, 15,546.12 and 6,205.20 is: 9,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.20 : 15,546.12 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    10,375.20/15,546.12 = 6,205.20/x
  3. Step 3: Cross multiply
    10,375.20x = 15,546.12 × 6,205.20
  4. Step 4: Simplify right side
    10,375.20x = 96,466,783.82
  5. Step 5: Solve for x
    x = 96,466,783.82/10,375.20
  6. Step 6: Final answer
    x = 9,297.82

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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.