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Finding the Fourth Proportional to 11,146.05, 16,706.43 and 4,568.58

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Solution

The fourth proportional to 11,146.05, 16,706.43 and 4,568.58 is: 6,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.05 : 16,706.43 = 4,568.58 : x
  2. Step 2: Convert to fraction form
    11,146.05/16,706.43 = 4,568.58/x
  3. Step 3: Cross multiply
    11,146.05x = 16,706.43 × 4,568.58
  4. Step 4: Simplify right side
    11,146.05x = 76,324,661.97
  5. Step 5: Solve for x
    x = 76,324,661.97/11,146.05
  6. Step 6: Final answer
    x = 6,847.69

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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.