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Finding the Fourth Proportional to 11,806.45, 17,706.83 and 3,484.21

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Solution

The fourth proportional to 11,806.45, 17,706.83 and 3,484.21 is: 5,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.45 : 17,706.83 = 3,484.21 : x
  2. Step 2: Convert to fraction form
    11,806.45/17,706.83 = 3,484.21/x
  3. Step 3: Cross multiply
    11,806.45x = 17,706.83 × 3,484.21
  4. Step 4: Simplify right side
    11,806.45x = 61,694,367.13
  5. Step 5: Solve for x
    x = 61,694,367.13/11,806.45
  6. Step 6: Final answer
    x = 5,225.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.