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Finding the Fourth Proportional to 7,998.34, 11,972.91 and 5,219.03

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Solution

The fourth proportional to 7,998.34, 11,972.91 and 5,219.03 is: 7,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.34 : 11,972.91 = 5,219.03 : x
  2. Step 2: Convert to fraction form
    7,998.34/11,972.91 = 5,219.03/x
  3. Step 3: Cross multiply
    7,998.34x = 11,972.91 × 5,219.03
  4. Step 4: Simplify right side
    7,998.34x = 62,486,976.48
  5. Step 5: Solve for x
    x = 62,486,976.48/7,998.34
  6. Step 6: Final answer
    x = 7,812.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.