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Finding the Fourth Proportional to 11,683.56, 17,514.92 and 4,286.30

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Solution

The fourth proportional to 11,683.56, 17,514.92 and 4,286.30 is: 6,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.56 : 17,514.92 = 4,286.30 : x
  2. Step 2: Convert to fraction form
    11,683.56/17,514.92 = 4,286.30/x
  3. Step 3: Cross multiply
    11,683.56x = 17,514.92 × 4,286.30
  4. Step 4: Simplify right side
    11,683.56x = 75,074,199.15
  5. Step 5: Solve for x
    x = 75,074,199.15/11,683.56
  6. Step 6: Final answer
    x = 6,425.63

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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.