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Finding the Fourth Proportional to 7,692.13, 11,541.89 and 3,795.67

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Solution

The fourth proportional to 7,692.13, 11,541.89 and 3,795.67 is: 5,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.13 : 11,541.89 = 3,795.67 : x
  2. Step 2: Convert to fraction form
    7,692.13/11,541.89 = 3,795.67/x
  3. Step 3: Cross multiply
    7,692.13x = 11,541.89 × 3,795.67
  4. Step 4: Simplify right side
    7,692.13x = 43,809,205.62
  5. Step 5: Solve for x
    x = 43,809,205.62/7,692.13
  6. Step 6: Final answer
    x = 5,695.33

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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.