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Finding the Fourth Proportional to 6,144.24, 8,463.60 and 5,149.56

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Solution

The fourth proportional to 6,144.24, 8,463.60 and 5,149.56 is: 7,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.24 : 8,463.60 = 5,149.56 : x
  2. Step 2: Convert to fraction form
    6,144.24/8,463.60 = 5,149.56/x
  3. Step 3: Cross multiply
    6,144.24x = 8,463.60 × 5,149.56
  4. Step 4: Simplify right side
    6,144.24x = 43,583,816.02
  5. Step 5: Solve for x
    x = 43,583,816.02/6,144.24
  6. Step 6: Final answer
    x = 7,093.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.