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Finding the Fourth Proportional to 11,664.67, 16,097.24 and 6,359.49

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Solution

The fourth proportional to 11,664.67, 16,097.24 and 6,359.49 is: 8,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.67 : 16,097.24 = 6,359.49 : x
  2. Step 2: Convert to fraction form
    11,664.67/16,097.24 = 6,359.49/x
  3. Step 3: Cross multiply
    11,664.67x = 16,097.24 × 6,359.49
  4. Step 4: Simplify right side
    11,664.67x = 102,370,236.81
  5. Step 5: Solve for x
    x = 102,370,236.81/11,664.67
  6. Step 6: Final answer
    x = 8,776.09

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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.