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Finding the Fourth Proportional to 10,706.29, 16,035.67 and 8,222.83

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Solution

The fourth proportional to 10,706.29, 16,035.67 and 8,222.83 is: 12,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.29 : 16,035.67 = 8,222.83 : x
  2. Step 2: Convert to fraction form
    10,706.29/16,035.67 = 8,222.83/x
  3. Step 3: Cross multiply
    10,706.29x = 16,035.67 × 8,222.83
  4. Step 4: Simplify right side
    10,706.29x = 131,858,588.35
  5. Step 5: Solve for x
    x = 131,858,588.35/10,706.29
  6. Step 6: Final answer
    x = 12,315.99

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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.