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Finding the Fourth Proportional to 6,889.25, 10,330.43 and 3,188.31

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Solution

The fourth proportional to 6,889.25, 10,330.43 and 3,188.31 is: 4,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.25 : 10,330.43 = 3,188.31 : x
  2. Step 2: Convert to fraction form
    6,889.25/10,330.43 = 3,188.31/x
  3. Step 3: Cross multiply
    6,889.25x = 10,330.43 × 3,188.31
  4. Step 4: Simplify right side
    6,889.25x = 32,936,613.27
  5. Step 5: Solve for x
    x = 32,936,613.27/6,889.25
  6. Step 6: Final answer
    x = 4,780.87

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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.