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Finding the Fourth Proportional to 11,915.87, 16,436.43 and 7,672.46

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Solution

The fourth proportional to 11,915.87, 16,436.43 and 7,672.46 is: 10,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.87 : 16,436.43 = 7,672.46 : x
  2. Step 2: Convert to fraction form
    11,915.87/16,436.43 = 7,672.46/x
  3. Step 3: Cross multiply
    11,915.87x = 16,436.43 × 7,672.46
  4. Step 4: Simplify right side
    11,915.87x = 126,107,769.54
  5. Step 5: Solve for x
    x = 126,107,769.54/11,915.87
  6. Step 6: Final answer
    x = 10,583.18

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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.