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Finding the Fourth Proportional to 6,842.33, 10,248.64 and 4,201.82

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Solution

The fourth proportional to 6,842.33, 10,248.64 and 4,201.82 is: 6,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.33 : 10,248.64 = 4,201.82 : x
  2. Step 2: Convert to fraction form
    6,842.33/10,248.64 = 4,201.82/x
  3. Step 3: Cross multiply
    6,842.33x = 10,248.64 × 4,201.82
  4. Step 4: Simplify right side
    6,842.33x = 43,062,940.52
  5. Step 5: Solve for x
    x = 43,062,940.52/6,842.33
  6. Step 6: Final answer
    x = 6,293.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.