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Finding the Fourth Proportional to 6,889.48, 10,327.74 and 2,504.68

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Solution

The fourth proportional to 6,889.48, 10,327.74 and 2,504.68 is: 3,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.48 : 10,327.74 = 2,504.68 : x
  2. Step 2: Convert to fraction form
    6,889.48/10,327.74 = 2,504.68/x
  3. Step 3: Cross multiply
    6,889.48x = 10,327.74 × 2,504.68
  4. Step 4: Simplify right side
    6,889.48x = 25,867,683.82
  5. Step 5: Solve for x
    x = 25,867,683.82/6,889.48
  6. Step 6: Final answer
    x = 3,754.66

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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.