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Finding the Fourth Proportional to 8,683.14, 13,027.83 and 3,415.23

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Solution

The fourth proportional to 8,683.14, 13,027.83 and 3,415.23 is: 5,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.14 : 13,027.83 = 3,415.23 : x
  2. Step 2: Convert to fraction form
    8,683.14/13,027.83 = 3,415.23/x
  3. Step 3: Cross multiply
    8,683.14x = 13,027.83 × 3,415.23
  4. Step 4: Simplify right side
    8,683.14x = 44,493,048.66
  5. Step 5: Solve for x
    x = 44,493,048.66/8,683.14
  6. Step 6: Final answer
    x = 5,124.07

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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.