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Finding the Fourth Proportional to 10,801.44, 16,202.15 and 6,181.20

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Solution

The fourth proportional to 10,801.44, 16,202.15 and 6,181.20 is: 9,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.44 : 16,202.15 = 6,181.20 : x
  2. Step 2: Convert to fraction form
    10,801.44/16,202.15 = 6,181.20/x
  3. Step 3: Cross multiply
    10,801.44x = 16,202.15 × 6,181.20
  4. Step 4: Simplify right side
    10,801.44x = 100,148,617.66
  5. Step 5: Solve for x
    x = 100,148,617.66/10,801.44
  6. Step 6: Final answer
    x = 9,271.79

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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.