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Finding the Fourth Proportional to 11,706.27, 17,561.76 and 4,310.77

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Solution

The fourth proportional to 11,706.27, 17,561.76 and 4,310.77 is: 6,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.27 : 17,561.76 = 4,310.77 : x
  2. Step 2: Convert to fraction form
    11,706.27/17,561.76 = 4,310.77/x
  3. Step 3: Cross multiply
    11,706.27x = 17,561.76 × 4,310.77
  4. Step 4: Simplify right side
    11,706.27x = 75,704,705.26
  5. Step 5: Solve for x
    x = 75,704,705.26/11,706.27
  6. Step 6: Final answer
    x = 6,467.02

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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.