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Finding the Fourth Proportional to 7,717.30, 11,571.48 and 6,794.70

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Solution

The fourth proportional to 7,717.30, 11,571.48 and 6,794.70 is: 10,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.30 : 11,571.48 = 6,794.70 : x
  2. Step 2: Convert to fraction form
    7,717.30/11,571.48 = 6,794.70/x
  3. Step 3: Cross multiply
    7,717.30x = 11,571.48 × 6,794.70
  4. Step 4: Simplify right side
    7,717.30x = 78,624,735.16
  5. Step 5: Solve for x
    x = 78,624,735.16/7,717.30
  6. Step 6: Final answer
    x = 10,188.11

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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.