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Finding the Fourth Proportional to 7,912.80, 11,874.96 and 5,838.39

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Solution

The fourth proportional to 7,912.80, 11,874.96 and 5,838.39 is: 8,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.80 : 11,874.96 = 5,838.39 : x
  2. Step 2: Convert to fraction form
    7,912.80/11,874.96 = 5,838.39/x
  3. Step 3: Cross multiply
    7,912.80x = 11,874.96 × 5,838.39
  4. Step 4: Simplify right side
    7,912.80x = 69,330,647.71
  5. Step 5: Solve for x
    x = 69,330,647.71/7,912.80
  6. Step 6: Final answer
    x = 8,761.83

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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.