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Finding the Fourth Proportional to 11,664.97, 16,097.73 and 6,359.83

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Solution

The fourth proportional to 11,664.97, 16,097.73 and 6,359.83 is: 8,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.97 : 16,097.73 = 6,359.83 : x
  2. Step 2: Convert to fraction form
    11,664.97/16,097.73 = 6,359.83/x
  3. Step 3: Cross multiply
    11,664.97x = 16,097.73 × 6,359.83
  4. Step 4: Simplify right side
    11,664.97x = 102,378,826.19
  5. Step 5: Solve for x
    x = 102,378,826.19/11,664.97
  6. Step 6: Final answer
    x = 8,776.60

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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.