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Finding the Fourth Proportional to 8,049.44, 11,114.52 and 5,218.16

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Solution

The fourth proportional to 8,049.44, 11,114.52 and 5,218.16 is: 7,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.44 : 11,114.52 = 5,218.16 : x
  2. Step 2: Convert to fraction form
    8,049.44/11,114.52 = 5,218.16/x
  3. Step 3: Cross multiply
    8,049.44x = 11,114.52 × 5,218.16
  4. Step 4: Simplify right side
    8,049.44x = 57,997,343.68
  5. Step 5: Solve for x
    x = 57,997,343.68/8,049.44
  6. Step 6: Final answer
    x = 7,205.14

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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.