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Finding the Fourth Proportional to 6,683.46, 10,012.42 and 4,051.77

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Solution

The fourth proportional to 6,683.46, 10,012.42 and 4,051.77 is: 6,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.46 : 10,012.42 = 4,051.77 : x
  2. Step 2: Convert to fraction form
    6,683.46/10,012.42 = 4,051.77/x
  3. Step 3: Cross multiply
    6,683.46x = 10,012.42 × 4,051.77
  4. Step 4: Simplify right side
    6,683.46x = 40,568,022.98
  5. Step 5: Solve for x
    x = 40,568,022.98/6,683.46
  6. Step 6: Final answer
    x = 6,069.91

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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.