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Finding the Fourth Proportional to 11,928.68, 16,450.12 and 7,675.40

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Solution

The fourth proportional to 11,928.68, 16,450.12 and 7,675.40 is: 10,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.68 : 16,450.12 = 7,675.40 : x
  2. Step 2: Convert to fraction form
    11,928.68/16,450.12 = 7,675.40/x
  3. Step 3: Cross multiply
    11,928.68x = 16,450.12 × 7,675.40
  4. Step 4: Simplify right side
    11,928.68x = 126,261,251.05
  5. Step 5: Solve for x
    x = 126,261,251.05/11,928.68
  6. Step 6: Final answer
    x = 10,584.68

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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.