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Finding the Fourth Proportional to 8,119.44, 12,175.92 and 5,216.40

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Solution

The fourth proportional to 8,119.44, 12,175.92 and 5,216.40 is: 7,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.44 : 12,175.92 = 5,216.40 : x
  2. Step 2: Convert to fraction form
    8,119.44/12,175.92 = 5,216.40/x
  3. Step 3: Cross multiply
    8,119.44x = 12,175.92 × 5,216.40
  4. Step 4: Simplify right side
    8,119.44x = 63,514,469.09
  5. Step 5: Solve for x
    x = 63,514,469.09/8,119.44
  6. Step 6: Final answer
    x = 7,822.52

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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.