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Finding the Fourth Proportional to 11,187.78, 16,777.08 and 4,168.26

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Solution

The fourth proportional to 11,187.78, 16,777.08 and 4,168.26 is: 6,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.78 : 16,777.08 = 4,168.26 : x
  2. Step 2: Convert to fraction form
    11,187.78/16,777.08 = 4,168.26/x
  3. Step 3: Cross multiply
    11,187.78x = 16,777.08 × 4,168.26
  4. Step 4: Simplify right side
    11,187.78x = 69,931,231.48
  5. Step 5: Solve for x
    x = 69,931,231.48/11,187.78
  6. Step 6: Final answer
    x = 6,250.68

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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.