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Finding the Fourth Proportional to 8,783.78, 13,174.29 and 2,940.44

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Solution

The fourth proportional to 8,783.78, 13,174.29 and 2,940.44 is: 4,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.78 : 13,174.29 = 2,940.44 : x
  2. Step 2: Convert to fraction form
    8,783.78/13,174.29 = 2,940.44/x
  3. Step 3: Cross multiply
    8,783.78x = 13,174.29 × 2,940.44
  4. Step 4: Simplify right side
    8,783.78x = 38,738,143.42
  5. Step 5: Solve for x
    x = 38,738,143.42/8,783.78
  6. Step 6: Final answer
    x = 4,410.19

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Why These Related Problems?

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