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Finding the Fourth Proportional to 8,824.97, 13,223.79 and 6,971.49

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Solution

The fourth proportional to 8,824.97, 13,223.79 and 6,971.49 is: 10,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.97 : 13,223.79 = 6,971.49 : x
  2. Step 2: Convert to fraction form
    8,824.97/13,223.79 = 6,971.49/x
  3. Step 3: Cross multiply
    8,824.97x = 13,223.79 × 6,971.49
  4. Step 4: Simplify right side
    8,824.97x = 92,189,519.75
  5. Step 5: Solve for x
    x = 92,189,519.75/8,824.97
  6. Step 6: Final answer
    x = 10,446.44

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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.