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Finding the Fourth Proportional to 8,344.08, 11,514.96 and 5,954.64

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Solution

The fourth proportional to 8,344.08, 11,514.96 and 5,954.64 is: 8,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.08 : 11,514.96 = 5,954.64 : x
  2. Step 2: Convert to fraction form
    8,344.08/11,514.96 = 5,954.64/x
  3. Step 3: Cross multiply
    8,344.08x = 11,514.96 × 5,954.64
  4. Step 4: Simplify right side
    8,344.08x = 68,567,441.41
  5. Step 5: Solve for x
    x = 68,567,441.41/8,344.08
  6. Step 6: Final answer
    x = 8,217.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.