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Finding the Fourth Proportional to 10,706.49, 16,061.27 and 3,311.60

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Solution

The fourth proportional to 10,706.49, 16,061.27 and 3,311.60 is: 4,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.49 : 16,061.27 = 3,311.60 : x
  2. Step 2: Convert to fraction form
    10,706.49/16,061.27 = 3,311.60/x
  3. Step 3: Cross multiply
    10,706.49x = 16,061.27 × 3,311.60
  4. Step 4: Simplify right side
    10,706.49x = 53,188,404.87
  5. Step 5: Solve for x
    x = 53,188,404.87/10,706.49
  6. Step 6: Final answer
    x = 4,967.87

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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.