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Finding the Fourth Proportional to 7,982.94, 11,016.98 and 4,446.69

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Solution

The fourth proportional to 7,982.94, 11,016.98 and 4,446.69 is: 6,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.94 : 11,016.98 = 4,446.69 : x
  2. Step 2: Convert to fraction form
    7,982.94/11,016.98 = 4,446.69/x
  3. Step 3: Cross multiply
    7,982.94x = 11,016.98 × 4,446.69
  4. Step 4: Simplify right side
    7,982.94x = 48,989,072.56
  5. Step 5: Solve for x
    x = 48,989,072.56/7,982.94
  6. Step 6: Final answer
    x = 6,136.72

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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.