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Finding the Fourth Proportional to 7,855.56, 11,774.19 and 3,692.97

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Solution

The fourth proportional to 7,855.56, 11,774.19 and 3,692.97 is: 5,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.56 : 11,774.19 = 3,692.97 : x
  2. Step 2: Convert to fraction form
    7,855.56/11,774.19 = 3,692.97/x
  3. Step 3: Cross multiply
    7,855.56x = 11,774.19 × 3,692.97
  4. Step 4: Simplify right side
    7,855.56x = 43,481,730.44
  5. Step 5: Solve for x
    x = 43,481,730.44/7,855.56
  6. Step 6: Final answer
    x = 5,535.15

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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.