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Finding the Fourth Proportional to 11,257.12, 16,872.99 and 6,864.94

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Solution

The fourth proportional to 11,257.12, 16,872.99 and 6,864.94 is: 10,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.12 : 16,872.99 = 6,864.94 : x
  2. Step 2: Convert to fraction form
    11,257.12/16,872.99 = 6,864.94/x
  3. Step 3: Cross multiply
    11,257.12x = 16,872.99 × 6,864.94
  4. Step 4: Simplify right side
    11,257.12x = 115,832,063.97
  5. Step 5: Solve for x
    x = 115,832,063.97/11,257.12
  6. Step 6: Final answer
    x = 10,289.67

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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.