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Finding the Fourth Proportional to 7,982.70, 12,033.83 and 7,447.49

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Solution

The fourth proportional to 7,982.70, 12,033.83 and 7,447.49 is: 11,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.70 : 12,033.83 = 7,447.49 : x
  2. Step 2: Convert to fraction form
    7,982.70/12,033.83 = 7,447.49/x
  3. Step 3: Cross multiply
    7,982.70x = 12,033.83 × 7,447.49
  4. Step 4: Simplify right side
    7,982.70x = 89,621,877.29
  5. Step 5: Solve for x
    x = 89,621,877.29/7,982.70
  6. Step 6: Final answer
    x = 11,227.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.