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Finding the Fourth Proportional to 8,473, 11,692.74 and 5,161

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Solution

The fourth proportional to 8,473, 11,692.74 and 5,161 is: 7,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473 : 11,692.74 = 5,161 : x
  2. Step 2: Convert to fraction form
    8,473/11,692.74 = 5,161/x
  3. Step 3: Cross multiply
    8,473x = 11,692.74 × 5,161
  4. Step 4: Simplify right side
    8,473x = 60,346,231.14
  5. Step 5: Solve for x
    x = 60,346,231.14/8,473
  6. Step 6: Final answer
    x = 7,122.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.