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Finding the Fourth Proportional to 6,211.26, 8,571.42 and 3,416.76

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Solution

The fourth proportional to 6,211.26, 8,571.42 and 3,416.76 is: 4,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.26 : 8,571.42 = 3,416.76 : x
  2. Step 2: Convert to fraction form
    6,211.26/8,571.42 = 3,416.76/x
  3. Step 3: Cross multiply
    6,211.26x = 8,571.42 × 3,416.76
  4. Step 4: Simplify right side
    6,211.26x = 29,286,485.00
  5. Step 5: Solve for x
    x = 29,286,485.00/6,211.26
  6. Step 6: Final answer
    x = 4,715.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.