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Finding the Fourth Proportional to 7,906.46, 11,858.34 and 2,640.74

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Solution

The fourth proportional to 7,906.46, 11,858.34 and 2,640.74 is: 3,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.46 : 11,858.34 = 2,640.74 : x
  2. Step 2: Convert to fraction form
    7,906.46/11,858.34 = 2,640.74/x
  3. Step 3: Cross multiply
    7,906.46x = 11,858.34 × 2,640.74
  4. Step 4: Simplify right side
    7,906.46x = 31,314,792.77
  5. Step 5: Solve for x
    x = 31,314,792.77/7,906.46
  6. Step 6: Final answer
    x = 3,960.66

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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.