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Finding the Fourth Proportional to 8,682.36, 11,976.24 and 6,411.39

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Solution

The fourth proportional to 8,682.36, 11,976.24 and 6,411.39 is: 8,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.36 : 11,976.24 = 6,411.39 : x
  2. Step 2: Convert to fraction form
    8,682.36/11,976.24 = 6,411.39/x
  3. Step 3: Cross multiply
    8,682.36x = 11,976.24 × 6,411.39
  4. Step 4: Simplify right side
    8,682.36x = 76,784,345.37
  5. Step 5: Solve for x
    x = 76,784,345.37/8,682.36
  6. Step 6: Final answer
    x = 8,843.72

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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.