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Finding the Fourth Proportional to 11,664.91, 16,086.75 and 7,679.10

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Solution

The fourth proportional to 11,664.91, 16,086.75 and 7,679.10 is: 10,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.91 : 16,086.75 = 7,679.10 : x
  2. Step 2: Convert to fraction form
    11,664.91/16,086.75 = 7,679.10/x
  3. Step 3: Cross multiply
    11,664.91x = 16,086.75 × 7,679.10
  4. Step 4: Simplify right side
    11,664.91x = 123,531,836.65
  5. Step 5: Solve for x
    x = 123,531,836.65/11,664.91
  6. Step 6: Final answer
    x = 10,590.04

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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.