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Finding the Fourth Proportional to 10,706.85, 16,061.81 and 3,311.87

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Solution

The fourth proportional to 10,706.85, 16,061.81 and 3,311.87 is: 4,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.85 : 16,061.81 = 3,311.87 : x
  2. Step 2: Convert to fraction form
    10,706.85/16,061.81 = 3,311.87/x
  3. Step 3: Cross multiply
    10,706.85x = 16,061.81 × 3,311.87
  4. Step 4: Simplify right side
    10,706.85x = 53,194,529.82
  5. Step 5: Solve for x
    x = 53,194,529.82/10,706.85
  6. Step 6: Final answer
    x = 4,968.27

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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.