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Finding the Fourth Proportional to 11,706.96, 17,552.23 and 4,310.46

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Solution

The fourth proportional to 11,706.96, 17,552.23 and 4,310.46 is: 6,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.96 : 17,552.23 = 4,310.46 : x
  2. Step 2: Convert to fraction form
    11,706.96/17,552.23 = 4,310.46/x
  3. Step 3: Cross multiply
    11,706.96x = 17,552.23 × 4,310.46
  4. Step 4: Simplify right side
    11,706.96x = 75,658,185.33
  5. Step 5: Solve for x
    x = 75,658,185.33/11,706.96
  6. Step 6: Final answer
    x = 6,462.67

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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.