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Finding the Fourth Proportional to 6,481.26, 8,948.21 and 5,142.33

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Solution

The fourth proportional to 6,481.26, 8,948.21 and 5,142.33 is: 7,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.26 : 8,948.21 = 5,142.33 : x
  2. Step 2: Convert to fraction form
    6,481.26/8,948.21 = 5,142.33/x
  3. Step 3: Cross multiply
    6,481.26x = 8,948.21 × 5,142.33
  4. Step 4: Simplify right side
    6,481.26x = 46,014,623.02
  5. Step 5: Solve for x
    x = 46,014,623.02/6,481.26
  6. Step 6: Final answer
    x = 7,099.64

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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.