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Finding the Fourth Proportional to 8,342.81, 12,514.41 and 3,344.97

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Solution

The fourth proportional to 8,342.81, 12,514.41 and 3,344.97 is: 5,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.81 : 12,514.41 = 3,344.97 : x
  2. Step 2: Convert to fraction form
    8,342.81/12,514.41 = 3,344.97/x
  3. Step 3: Cross multiply
    8,342.81x = 12,514.41 × 3,344.97
  4. Step 4: Simplify right side
    8,342.81x = 41,860,326.02
  5. Step 5: Solve for x
    x = 41,860,326.02/8,342.81
  6. Step 6: Final answer
    x = 5,017.54

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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.