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Finding the Fourth Proportional to 11,177.80, 16,734.30 and 10,853.80

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Solution

The fourth proportional to 11,177.80, 16,734.30 and 10,853.80 is: 16,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.80 : 16,734.30 = 10,853.80 : x
  2. Step 2: Convert to fraction form
    11,177.80/16,734.30 = 10,853.80/x
  3. Step 3: Cross multiply
    11,177.80x = 16,734.30 × 10,853.80
  4. Step 4: Simplify right side
    11,177.80x = 181,630,745.34
  5. Step 5: Solve for x
    x = 181,630,745.34/11,177.80
  6. Step 6: Final answer
    x = 16,249.24

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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.