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Finding the Fourth Proportional to 6,517.26, 8,993.34 and 4,159.14

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Solution

The fourth proportional to 6,517.26, 8,993.34 and 4,159.14 is: 5,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.26 : 8,993.34 = 4,159.14 : x
  2. Step 2: Convert to fraction form
    6,517.26/8,993.34 = 4,159.14/x
  3. Step 3: Cross multiply
    6,517.26x = 8,993.34 × 4,159.14
  4. Step 4: Simplify right side
    6,517.26x = 37,404,560.13
  5. Step 5: Solve for x
    x = 37,404,560.13/6,517.26
  6. Step 6: Final answer
    x = 5,739.31

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Why These Related Problems?

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