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Finding the Fourth Proportional to 8,172.78, 11,284.19 and 6,382.27

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Solution

The fourth proportional to 8,172.78, 11,284.19 and 6,382.27 is: 8,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.78 : 11,284.19 = 6,382.27 : x
  2. Step 2: Convert to fraction form
    8,172.78/11,284.19 = 6,382.27/x
  3. Step 3: Cross multiply
    8,172.78x = 11,284.19 × 6,382.27
  4. Step 4: Simplify right side
    8,172.78x = 72,018,747.31
  5. Step 5: Solve for x
    x = 72,018,747.31/8,172.78
  6. Step 6: Final answer
    x = 8,812.03

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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.