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Finding the Fourth Proportional to 10,683.44, 16,030.89 and 5,489.31

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Solution

The fourth proportional to 10,683.44, 16,030.89 and 5,489.31 is: 8,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.44 : 16,030.89 = 5,489.31 : x
  2. Step 2: Convert to fraction form
    10,683.44/16,030.89 = 5,489.31/x
  3. Step 3: Cross multiply
    10,683.44x = 16,030.89 × 5,489.31
  4. Step 4: Simplify right side
    10,683.44x = 87,998,524.79
  5. Step 5: Solve for x
    x = 87,998,524.79/10,683.44
  6. Step 6: Final answer
    x = 8,236.91

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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.