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Finding the Fourth Proportional to 8,224.29, 11,343.33 and 5,706.42

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Solution

The fourth proportional to 8,224.29, 11,343.33 and 5,706.42 is: 7,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.29 : 11,343.33 = 5,706.42 : x
  2. Step 2: Convert to fraction form
    8,224.29/11,343.33 = 5,706.42/x
  3. Step 3: Cross multiply
    8,224.29x = 11,343.33 × 5,706.42
  4. Step 4: Simplify right side
    8,224.29x = 64,729,805.18
  5. Step 5: Solve for x
    x = 64,729,805.18/8,224.29
  6. Step 6: Final answer
    x = 7,870.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.