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Finding the Fourth Proportional to 6,096.74, 8,394.75 and 5,198.49

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Solution

The fourth proportional to 6,096.74, 8,394.75 and 5,198.49 is: 7,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.74 : 8,394.75 = 5,198.49 : x
  2. Step 2: Convert to fraction form
    6,096.74/8,394.75 = 5,198.49/x
  3. Step 3: Cross multiply
    6,096.74x = 8,394.75 × 5,198.49
  4. Step 4: Simplify right side
    6,096.74x = 43,640,023.93
  5. Step 5: Solve for x
    x = 43,640,023.93/6,096.74
  6. Step 6: Final answer
    x = 7,157.93

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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.