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Finding the Fourth Proportional to 11,334.46, 17,008.53 and 8,074.66

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Solution

The fourth proportional to 11,334.46, 17,008.53 and 8,074.66 is: 12,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.46 : 17,008.53 = 8,074.66 : x
  2. Step 2: Convert to fraction form
    11,334.46/17,008.53 = 8,074.66/x
  3. Step 3: Cross multiply
    11,334.46x = 17,008.53 × 8,074.66
  4. Step 4: Simplify right side
    11,334.46x = 137,338,096.85
  5. Step 5: Solve for x
    x = 137,338,096.85/11,334.46
  6. Step 6: Final answer
    x = 12,116.86

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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.