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Finding the Fourth Proportional to 11,692.56, 17,538.72 and 2,927.44

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Solution

The fourth proportional to 11,692.56, 17,538.72 and 2,927.44 is: 4,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.56 : 17,538.72 = 2,927.44 : x
  2. Step 2: Convert to fraction form
    11,692.56/17,538.72 = 2,927.44/x
  3. Step 3: Cross multiply
    11,692.56x = 17,538.72 × 2,927.44
  4. Step 4: Simplify right side
    11,692.56x = 51,343,550.48
  5. Step 5: Solve for x
    x = 51,343,550.48/11,692.56
  6. Step 6: Final answer
    x = 4,391.13

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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.