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Finding the Fourth Proportional to 8,176.78, 11,283.90 and 4,450.78

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Solution

The fourth proportional to 8,176.78, 11,283.90 and 4,450.78 is: 6,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.78 : 11,283.90 = 4,450.78 : x
  2. Step 2: Convert to fraction form
    8,176.78/11,283.90 = 4,450.78/x
  3. Step 3: Cross multiply
    8,176.78x = 11,283.90 × 4,450.78
  4. Step 4: Simplify right side
    8,176.78x = 50,222,156.44
  5. Step 5: Solve for x
    x = 50,222,156.44/8,176.78
  6. Step 6: Final answer
    x = 6,142.05

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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.