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Finding the Fourth Proportional to 10,783.78, 16,175.67 and 4,940.39

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Solution

The fourth proportional to 10,783.78, 16,175.67 and 4,940.39 is: 7,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.78 : 16,175.67 = 4,940.39 : x
  2. Step 2: Convert to fraction form
    10,783.78/16,175.67 = 4,940.39/x
  3. Step 3: Cross multiply
    10,783.78x = 16,175.67 × 4,940.39
  4. Step 4: Simplify right side
    10,783.78x = 79,914,181.91
  5. Step 5: Solve for x
    x = 79,914,181.91/10,783.78
  6. Step 6: Final answer
    x = 7,410.59

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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.