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Finding the Fourth Proportional to 7,982.66, 11,016.09 and 4,446.57

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Solution

The fourth proportional to 7,982.66, 11,016.09 and 4,446.57 is: 6,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.66 : 11,016.09 = 4,446.57 : x
  2. Step 2: Convert to fraction form
    7,982.66/11,016.09 = 4,446.57/x
  3. Step 3: Cross multiply
    7,982.66x = 11,016.09 × 4,446.57
  4. Step 4: Simplify right side
    7,982.66x = 48,983,815.31
  5. Step 5: Solve for x
    x = 48,983,815.31/7,982.66
  6. Step 6: Final answer
    x = 6,136.28

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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.