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Finding the Fourth Proportional to 8,181.87, 11,290.67 and 5,000.49

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Solution

The fourth proportional to 8,181.87, 11,290.67 and 5,000.49 is: 6,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.87 : 11,290.67 = 5,000.49 : x
  2. Step 2: Convert to fraction form
    8,181.87/11,290.67 = 5,000.49/x
  3. Step 3: Cross multiply
    8,181.87x = 11,290.67 × 5,000.49
  4. Step 4: Simplify right side
    8,181.87x = 56,458,857.43
  5. Step 5: Solve for x
    x = 56,458,857.43/8,181.87
  6. Step 6: Final answer
    x = 6,900.48

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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.