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Finding the Fourth Proportional to 6,382.14, 8,808.39 and 5,333.82

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Solution

The fourth proportional to 6,382.14, 8,808.39 and 5,333.82 is: 7,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.14 : 8,808.39 = 5,333.82 : x
  2. Step 2: Convert to fraction form
    6,382.14/8,808.39 = 5,333.82/x
  3. Step 3: Cross multiply
    6,382.14x = 8,808.39 × 5,333.82
  4. Step 4: Simplify right side
    6,382.14x = 46,982,366.75
  5. Step 5: Solve for x
    x = 46,982,366.75/6,382.14
  6. Step 6: Final answer
    x = 7,361.54

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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.