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Finding the Fourth Proportional to 11,516.50, 15,892.83 and 6,480.80

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Solution

The fourth proportional to 11,516.50, 15,892.83 and 6,480.80 is: 8,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.50 : 15,892.83 = 6,480.80 : x
  2. Step 2: Convert to fraction form
    11,516.50/15,892.83 = 6,480.80/x
  3. Step 3: Cross multiply
    11,516.50x = 15,892.83 × 6,480.80
  4. Step 4: Simplify right side
    11,516.50x = 102,998,252.66
  5. Step 5: Solve for x
    x = 102,998,252.66/11,516.50
  6. Step 6: Final answer
    x = 8,943.54

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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.