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Finding the Fourth Proportional to 6,161.94, 8,497.44 and 5,542.02

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Solution

The fourth proportional to 6,161.94, 8,497.44 and 5,542.02 is: 7,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.94 : 8,497.44 = 5,542.02 : x
  2. Step 2: Convert to fraction form
    6,161.94/8,497.44 = 5,542.02/x
  3. Step 3: Cross multiply
    6,161.94x = 8,497.44 × 5,542.02
  4. Step 4: Simplify right side
    6,161.94x = 47,092,982.43
  5. Step 5: Solve for x
    x = 47,092,982.43/6,161.94
  6. Step 6: Final answer
    x = 7,642.56

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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.