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Finding the Fourth Proportional to 11,861.87, 16,341.53 and 8,270.30

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Solution

The fourth proportional to 11,861.87, 16,341.53 and 8,270.30 is: 11,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.87 : 16,341.53 = 8,270.30 : x
  2. Step 2: Convert to fraction form
    11,861.87/16,341.53 = 8,270.30/x
  3. Step 3: Cross multiply
    11,861.87x = 16,341.53 × 8,270.30
  4. Step 4: Simplify right side
    11,861.87x = 135,149,355.06
  5. Step 5: Solve for x
    x = 135,149,355.06/11,861.87
  6. Step 6: Final answer
    x = 11,393.60

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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.