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Finding the Fourth Proportional to 11,664.68, 16,097.49 and 6,629.09

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Solution

The fourth proportional to 11,664.68, 16,097.49 and 6,629.09 is: 9,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.68 : 16,097.49 = 6,629.09 : x
  2. Step 2: Convert to fraction form
    11,664.68/16,097.49 = 6,629.09/x
  3. Step 3: Cross multiply
    11,664.68x = 16,097.49 × 6,629.09
  4. Step 4: Simplify right side
    11,664.68x = 106,711,629.50
  5. Step 5: Solve for x
    x = 106,711,629.50/11,664.68
  6. Step 6: Final answer
    x = 9,148.27

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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.