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Finding the Fourth Proportional to 8,172.78, 11,284.77 and 6,281.37

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Solution

The fourth proportional to 8,172.78, 11,284.77 and 6,281.37 is: 8,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.78 : 11,284.77 = 6,281.37 : x
  2. Step 2: Convert to fraction form
    8,172.78/11,284.77 = 6,281.37/x
  3. Step 3: Cross multiply
    8,172.78x = 11,284.77 × 6,281.37
  4. Step 4: Simplify right side
    8,172.78x = 70,883,815.73
  5. Step 5: Solve for x
    x = 70,883,815.73/8,172.78
  6. Step 6: Final answer
    x = 8,673.16

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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.