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Finding the Fourth Proportional to 11,664.36, 16,096.77 and 6,359.13

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Solution

The fourth proportional to 11,664.36, 16,096.77 and 6,359.13 is: 8,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.36 : 16,096.77 = 6,359.13 : x
  2. Step 2: Convert to fraction form
    11,664.36/16,096.77 = 6,359.13/x
  3. Step 3: Cross multiply
    11,664.36x = 16,096.77 × 6,359.13
  4. Step 4: Simplify right side
    11,664.36x = 102,361,453.01
  5. Step 5: Solve for x
    x = 102,361,453.01/11,664.36
  6. Step 6: Final answer
    x = 8,775.57

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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.