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Finding the Fourth Proportional to 11,861.68, 16,368.68 and 6,826.67

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Solution

The fourth proportional to 11,861.68, 16,368.68 and 6,826.67 is: 9,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.68 : 16,368.68 = 6,826.67 : x
  2. Step 2: Convert to fraction form
    11,861.68/16,368.68 = 6,826.67/x
  3. Step 3: Cross multiply
    11,861.68x = 16,368.68 × 6,826.67
  4. Step 4: Simplify right side
    11,861.68x = 111,743,542.56
  5. Step 5: Solve for x
    x = 111,743,542.56/11,861.68
  6. Step 6: Final answer
    x = 9,420.55

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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.