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Finding the Fourth Proportional to 6,122.13, 8,450.22 and 5,706.60

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Solution

The fourth proportional to 6,122.13, 8,450.22 and 5,706.60 is: 7,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.13 : 8,450.22 = 5,706.60 : x
  2. Step 2: Convert to fraction form
    6,122.13/8,450.22 = 5,706.60/x
  3. Step 3: Cross multiply
    6,122.13x = 8,450.22 × 5,706.60
  4. Step 4: Simplify right side
    6,122.13x = 48,222,025.45
  5. Step 5: Solve for x
    x = 48,222,025.45/6,122.13
  6. Step 6: Final answer
    x = 7,876.67

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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.