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Finding the Fourth Proportional to 11,871.91, 16,383.21 and 6,494.36

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Solution

The fourth proportional to 11,871.91, 16,383.21 and 6,494.36 is: 8,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.91 : 16,383.21 = 6,494.36 : x
  2. Step 2: Convert to fraction form
    11,871.91/16,383.21 = 6,494.36/x
  3. Step 3: Cross multiply
    11,871.91x = 16,383.21 × 6,494.36
  4. Step 4: Simplify right side
    11,871.91x = 106,398,463.70
  5. Step 5: Solve for x
    x = 106,398,463.70/11,871.91
  6. Step 6: Final answer
    x = 8,962.20

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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.