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Finding the Fourth Proportional to 8,239.50, 11,361.96 and 5,724.45

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Solution

The fourth proportional to 8,239.50, 11,361.96 and 5,724.45 is: 7,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.50 : 11,361.96 = 5,724.45 : x
  2. Step 2: Convert to fraction form
    8,239.50/11,361.96 = 5,724.45/x
  3. Step 3: Cross multiply
    8,239.50x = 11,361.96 × 5,724.45
  4. Step 4: Simplify right side
    8,239.50x = 65,040,971.92
  5. Step 5: Solve for x
    x = 65,040,971.92/8,239.50
  6. Step 6: Final answer
    x = 7,893.80

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1.5x scale

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.