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Finding the Fourth Proportional to 8,522.82, 12,783.98 and 3,841.73

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Solution

The fourth proportional to 8,522.82, 12,783.98 and 3,841.73 is: 5,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.82 : 12,783.98 = 3,841.73 : x
  2. Step 2: Convert to fraction form
    8,522.82/12,783.98 = 3,841.73/x
  3. Step 3: Cross multiply
    8,522.82x = 12,783.98 × 3,841.73
  4. Step 4: Simplify right side
    8,522.82x = 49,112,571.50
  5. Step 5: Solve for x
    x = 49,112,571.50/8,522.82
  6. Step 6: Final answer
    x = 5,762.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.