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Finding the Fourth Proportional to 11,128.50, 16,692.27 and 3,231

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Solution

The fourth proportional to 11,128.50, 16,692.27 and 3,231 is: 4,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128.50 : 16,692.27 = 3,231 : x
  2. Step 2: Convert to fraction form
    11,128.50/16,692.27 = 3,231/x
  3. Step 3: Cross multiply
    11,128.50x = 16,692.27 × 3,231
  4. Step 4: Simplify right side
    11,128.50x = 53,932,724.37
  5. Step 5: Solve for x
    x = 53,932,724.37/11,128.50
  6. Step 6: Final answer
    x = 4,846.36

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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.