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Finding the Fourth Proportional to 10,706.80, 16,062.60 and 3,311.60

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Solution

The fourth proportional to 10,706.80, 16,062.60 and 3,311.60 is: 4,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.80 : 16,062.60 = 3,311.60 : x
  2. Step 2: Convert to fraction form
    10,706.80/16,062.60 = 3,311.60/x
  3. Step 3: Cross multiply
    10,706.80x = 16,062.60 × 3,311.60
  4. Step 4: Simplify right side
    10,706.80x = 53,192,906.16
  5. Step 5: Solve for x
    x = 53,192,906.16/10,706.80
  6. Step 6: Final answer
    x = 4,968.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.