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Finding the Fourth Proportional to 11,665.71, 16,098.68 and 6,629.94

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Solution

The fourth proportional to 11,665.71, 16,098.68 and 6,629.94 is: 9,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.71 : 16,098.68 = 6,629.94 : x
  2. Step 2: Convert to fraction form
    11,665.71/16,098.68 = 6,629.94/x
  3. Step 3: Cross multiply
    11,665.71x = 16,098.68 × 6,629.94
  4. Step 4: Simplify right side
    11,665.71x = 106,733,282.48
  5. Step 5: Solve for x
    x = 106,733,282.48/11,665.71
  6. Step 6: Final answer
    x = 9,149.32

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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.