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Finding the Fourth Proportional to 11,802.41, 16,286.70 and 6,496.21

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Solution

The fourth proportional to 11,802.41, 16,286.70 and 6,496.21 is: 8,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.41 : 16,286.70 = 6,496.21 : x
  2. Step 2: Convert to fraction form
    11,802.41/16,286.70 = 6,496.21/x
  3. Step 3: Cross multiply
    11,802.41x = 16,286.70 × 6,496.21
  4. Step 4: Simplify right side
    11,802.41x = 105,801,741.97
  5. Step 5: Solve for x
    x = 105,801,741.97/11,802.41
  6. Step 6: Final answer
    x = 8,964.42

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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.