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Finding the Fourth Proportional to 11,801.94, 16,286.30 and 6,496.74

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Solution

The fourth proportional to 11,801.94, 16,286.30 and 6,496.74 is: 8,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.94 : 16,286.30 = 6,496.74 : x
  2. Step 2: Convert to fraction form
    11,801.94/16,286.30 = 6,496.74/x
  3. Step 3: Cross multiply
    11,801.94x = 16,286.30 × 6,496.74
  4. Step 4: Simplify right side
    11,801.94x = 105,807,848.54
  5. Step 5: Solve for x
    x = 105,807,848.54/11,801.94
  6. Step 6: Final answer
    x = 8,965.30

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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.