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Finding the Fourth Proportional to 11,672.25, 16,107.71 and 7,480.50

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Solution

The fourth proportional to 11,672.25, 16,107.71 and 7,480.50 is: 10,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.25 : 16,107.71 = 7,480.50 : x
  2. Step 2: Convert to fraction form
    11,672.25/16,107.71 = 7,480.50/x
  3. Step 3: Cross multiply
    11,672.25x = 16,107.71 × 7,480.50
  4. Step 4: Simplify right side
    11,672.25x = 120,493,687.25
  5. Step 5: Solve for x
    x = 120,493,687.25/11,672.25
  6. Step 6: Final answer
    x = 10,323.09

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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.