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Finding the Fourth Proportional to 11,706.72, 17,561.83 and 4,310.61

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Solution

The fourth proportional to 11,706.72, 17,561.83 and 4,310.61 is: 6,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.72 : 17,561.83 = 4,310.61 : x
  2. Step 2: Convert to fraction form
    11,706.72/17,561.83 = 4,310.61/x
  3. Step 3: Cross multiply
    11,706.72x = 17,561.83 × 4,310.61
  4. Step 4: Simplify right side
    11,706.72x = 75,702,200.02
  5. Step 5: Solve for x
    x = 75,702,200.02/11,706.72
  6. Step 6: Final answer
    x = 6,466.56

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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.