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Finding the Fourth Proportional to 8,049.44, 12,077.64 and 4,354.27

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Solution

The fourth proportional to 8,049.44, 12,077.64 and 4,354.27 is: 6,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.44 : 12,077.64 = 4,354.27 : x
  2. Step 2: Convert to fraction form
    8,049.44/12,077.64 = 4,354.27/x
  3. Step 3: Cross multiply
    8,049.44x = 12,077.64 × 4,354.27
  4. Step 4: Simplify right side
    8,049.44x = 52,589,343.27
  5. Step 5: Solve for x
    x = 52,589,343.27/8,049.44
  6. Step 6: Final answer
    x = 6,533.29

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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.