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Finding the Fourth Proportional to 6,152.31, 8,486.96 and 4,163.54

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Solution

The fourth proportional to 6,152.31, 8,486.96 and 4,163.54 is: 5,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.31 : 8,486.96 = 4,163.54 : x
  2. Step 2: Convert to fraction form
    6,152.31/8,486.96 = 4,163.54/x
  3. Step 3: Cross multiply
    6,152.31x = 8,486.96 × 4,163.54
  4. Step 4: Simplify right side
    6,152.31x = 35,335,734.19
  5. Step 5: Solve for x
    x = 35,335,734.19/6,152.31
  6. Step 6: Final answer
    x = 5,743.49

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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.