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Finding the Fourth Proportional to 11,664.67, 16,097.67 and 6,629.74

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Solution

The fourth proportional to 11,664.67, 16,097.67 and 6,629.74 is: 9,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.67 : 16,097.67 = 6,629.74 : x
  2. Step 2: Convert to fraction form
    11,664.67/16,097.67 = 6,629.74/x
  3. Step 3: Cross multiply
    11,664.67x = 16,097.67 × 6,629.74
  4. Step 4: Simplify right side
    11,664.67x = 106,723,366.71
  5. Step 5: Solve for x
    x = 106,723,366.71/11,664.67
  6. Step 6: Final answer
    x = 9,149.28

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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.