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Finding the Fourth Proportional to 8,342.73, 11,505.24 and 5,361.12

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Solution

The fourth proportional to 8,342.73, 11,505.24 and 5,361.12 is: 7,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.73 : 11,505.24 = 5,361.12 : x
  2. Step 2: Convert to fraction form
    8,342.73/11,505.24 = 5,361.12/x
  3. Step 3: Cross multiply
    8,342.73x = 11,505.24 × 5,361.12
  4. Step 4: Simplify right side
    8,342.73x = 61,680,972.27
  5. Step 5: Solve for x
    x = 61,680,972.27/8,342.73
  6. Step 6: Final answer
    x = 7,393.38

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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.