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Finding the Fourth Proportional to 10,221.32, 14,104.97 and 5,972.78

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Solution

The fourth proportional to 10,221.32, 14,104.97 and 5,972.78 is: 8,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.32 : 14,104.97 = 5,972.78 : x
  2. Step 2: Convert to fraction form
    10,221.32/14,104.97 = 5,972.78/x
  3. Step 3: Cross multiply
    10,221.32x = 14,104.97 × 5,972.78
  4. Step 4: Simplify right side
    10,221.32x = 84,245,782.33
  5. Step 5: Solve for x
    x = 84,245,782.33/10,221.32
  6. Step 6: Final answer
    x = 8,242.17

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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.