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Finding the Fourth Proportional to 7,879.46, 11,827.43 and 3,500.02

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Solution

The fourth proportional to 7,879.46, 11,827.43 and 3,500.02 is: 5,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.46 : 11,827.43 = 3,500.02 : x
  2. Step 2: Convert to fraction form
    7,879.46/11,827.43 = 3,500.02/x
  3. Step 3: Cross multiply
    7,879.46x = 11,827.43 × 3,500.02
  4. Step 4: Simplify right side
    7,879.46x = 41,396,241.55
  5. Step 5: Solve for x
    x = 41,396,241.55/7,879.46
  6. Step 6: Final answer
    x = 5,253.69

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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.