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Finding the Fourth Proportional to 11,871.50, 16,382.94 and 7,687.04

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Solution

The fourth proportional to 11,871.50, 16,382.94 and 7,687.04 is: 10,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.50 : 16,382.94 = 7,687.04 : x
  2. Step 2: Convert to fraction form
    11,871.50/16,382.94 = 7,687.04/x
  3. Step 3: Cross multiply
    11,871.50x = 16,382.94 × 7,687.04
  4. Step 4: Simplify right side
    11,871.50x = 125,936,315.10
  5. Step 5: Solve for x
    x = 125,936,315.10/11,871.50
  6. Step 6: Final answer
    x = 10,608.29

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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.