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Finding the Fourth Proportional to 7,883.54, 11,826.39 and 3,500.90

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Solution

The fourth proportional to 7,883.54, 11,826.39 and 3,500.90 is: 5,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.54 : 11,826.39 = 3,500.90 : x
  2. Step 2: Convert to fraction form
    7,883.54/11,826.39 = 3,500.90/x
  3. Step 3: Cross multiply
    7,883.54x = 11,826.39 × 3,500.90
  4. Step 4: Simplify right side
    7,883.54x = 41,403,008.75
  5. Step 5: Solve for x
    x = 41,403,008.75/7,883.54
  6. Step 6: Final answer
    x = 5,251.83

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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.