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Finding the Fourth Proportional to 8,342.75, 11,451.66 and 7,377.39

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Solution

The fourth proportional to 8,342.75, 11,451.66 and 7,377.39 is: 10,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.75 : 11,451.66 = 7,377.39 : x
  2. Step 2: Convert to fraction form
    8,342.75/11,451.66 = 7,377.39/x
  3. Step 3: Cross multiply
    8,342.75x = 11,451.66 × 7,377.39
  4. Step 4: Simplify right side
    8,342.75x = 84,483,361.97
  5. Step 5: Solve for x
    x = 84,483,361.97/8,342.75
  6. Step 6: Final answer
    x = 10,126.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.