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Finding the Fourth Proportional to 11,396.66, 17,084.06 and 8,054.48

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Solution

The fourth proportional to 11,396.66, 17,084.06 and 8,054.48 is: 12,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.66 : 17,084.06 = 8,054.48 : x
  2. Step 2: Convert to fraction form
    11,396.66/17,084.06 = 8,054.48/x
  3. Step 3: Cross multiply
    11,396.66x = 17,084.06 × 8,054.48
  4. Step 4: Simplify right side
    11,396.66x = 137,603,234.56
  5. Step 5: Solve for x
    x = 137,603,234.56/11,396.66
  6. Step 6: Final answer
    x = 12,073.99

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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.