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Finding the Fourth Proportional to 11,706.45, 17,559.68 and 4,311.15

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Solution

The fourth proportional to 11,706.45, 17,559.68 and 4,311.15 is: 6,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.45 : 17,559.68 = 4,311.15 : x
  2. Step 2: Convert to fraction form
    11,706.45/17,559.68 = 4,311.15/x
  3. Step 3: Cross multiply
    11,706.45x = 17,559.68 × 4,311.15
  4. Step 4: Simplify right side
    11,706.45x = 75,702,414.43
  5. Step 5: Solve for x
    x = 75,702,414.43/11,706.45
  6. Step 6: Final answer
    x = 6,466.73

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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.