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Finding the Fourth Proportional to 11,162, 16,733.46 and 4,584.08

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Solution

The fourth proportional to 11,162, 16,733.46 and 4,584.08 is: 6,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162 : 16,733.46 = 4,584.08 : x
  2. Step 2: Convert to fraction form
    11,162/16,733.46 = 4,584.08/x
  3. Step 3: Cross multiply
    11,162x = 16,733.46 × 4,584.08
  4. Step 4: Simplify right side
    11,162x = 76,707,519.32
  5. Step 5: Solve for x
    x = 76,707,519.32/11,162
  6. Step 6: Final answer
    x = 6,872.20

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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.