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Finding the Fourth Proportional to 6,886, 10,327.92 and 5,723.47

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Solution

The fourth proportional to 6,886, 10,327.92 and 5,723.47 is: 8,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886 : 10,327.92 = 5,723.47 : x
  2. Step 2: Convert to fraction form
    6,886/10,327.92 = 5,723.47/x
  3. Step 3: Cross multiply
    6,886x = 10,327.92 × 5,723.47
  4. Step 4: Simplify right side
    6,886x = 59,111,540.28
  5. Step 5: Solve for x
    x = 59,111,540.28/6,886
  6. Step 6: Final answer
    x = 8,584.31

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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.