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Finding the Fourth Proportional to 11,672.46, 17,500.46 and 5,824.94

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Solution

The fourth proportional to 11,672.46, 17,500.46 and 5,824.94 is: 8,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.46 : 17,500.46 = 5,824.94 : x
  2. Step 2: Convert to fraction form
    11,672.46/17,500.46 = 5,824.94/x
  3. Step 3: Cross multiply
    11,672.46x = 17,500.46 × 5,824.94
  4. Step 4: Simplify right side
    11,672.46x = 101,939,012.85
  5. Step 5: Solve for x
    x = 101,939,012.85/11,672.46
  6. Step 6: Final answer
    x = 8,733.29

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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.