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Finding the Fourth Proportional to 11,701, 16,147.37 and 6,665.69

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Solution

The fourth proportional to 11,701, 16,147.37 and 6,665.69 is: 9,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701 : 16,147.37 = 6,665.69 : x
  2. Step 2: Convert to fraction form
    11,701/16,147.37 = 6,665.69/x
  3. Step 3: Cross multiply
    11,701x = 16,147.37 × 6,665.69
  4. Step 4: Simplify right side
    11,701x = 107,633,362.74
  5. Step 5: Solve for x
    x = 107,633,362.74/11,701
  6. Step 6: Final answer
    x = 9,198.65

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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.