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Finding the Fourth Proportional to 8,224.79, 11,344.02 and 5,706.92

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Solution

The fourth proportional to 8,224.79, 11,344.02 and 5,706.92 is: 7,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.79 : 11,344.02 = 5,706.92 : x
  2. Step 2: Convert to fraction form
    8,224.79/11,344.02 = 5,706.92/x
  3. Step 3: Cross multiply
    8,224.79x = 11,344.02 × 5,706.92
  4. Step 4: Simplify right side
    8,224.79x = 64,739,414.62
  5. Step 5: Solve for x
    x = 64,739,414.62/8,224.79
  6. Step 6: Final answer
    x = 7,871.25

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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.