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Finding the Fourth Proportional to 10,729.97, 16,099.05 and 4,156.67

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Solution

The fourth proportional to 10,729.97, 16,099.05 and 4,156.67 is: 6,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.97 : 16,099.05 = 4,156.67 : x
  2. Step 2: Convert to fraction form
    10,729.97/16,099.05 = 4,156.67/x
  3. Step 3: Cross multiply
    10,729.97x = 16,099.05 × 4,156.67
  4. Step 4: Simplify right side
    10,729.97x = 66,918,403.44
  5. Step 5: Solve for x
    x = 66,918,403.44/10,729.97
  6. Step 6: Final answer
    x = 6,236.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.