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Finding the Fourth Proportional to 6,706.38, 10,059.78 and 3,196.77

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Solution

The fourth proportional to 6,706.38, 10,059.78 and 3,196.77 is: 4,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.38 : 10,059.78 = 3,196.77 : x
  2. Step 2: Convert to fraction form
    6,706.38/10,059.78 = 3,196.77/x
  3. Step 3: Cross multiply
    6,706.38x = 10,059.78 × 3,196.77
  4. Step 4: Simplify right side
    6,706.38x = 32,158,814.90
  5. Step 5: Solve for x
    x = 32,158,814.90/6,706.38
  6. Step 6: Final answer
    x = 4,795.26

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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.