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Finding the Fourth Proportional to 6,705.72, 10,033.67 and 4,027.86

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Solution

The fourth proportional to 6,705.72, 10,033.67 and 4,027.86 is: 6,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.72 : 10,033.67 = 4,027.86 : x
  2. Step 2: Convert to fraction form
    6,705.72/10,033.67 = 4,027.86/x
  3. Step 3: Cross multiply
    6,705.72x = 10,033.67 × 4,027.86
  4. Step 4: Simplify right side
    6,705.72x = 40,414,228.12
  5. Step 5: Solve for x
    x = 40,414,228.12/6,705.72
  6. Step 6: Final answer
    x = 6,026.83

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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.