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Finding the Fourth Proportional to 10,729.76, 16,093.26 and 3,334.05

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Solution

The fourth proportional to 10,729.76, 16,093.26 and 3,334.05 is: 5,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.76 : 16,093.26 = 3,334.05 : x
  2. Step 2: Convert to fraction form
    10,729.76/16,093.26 = 3,334.05/x
  3. Step 3: Cross multiply
    10,729.76x = 16,093.26 × 3,334.05
  4. Step 4: Simplify right side
    10,729.76x = 53,655,733.50
  5. Step 5: Solve for x
    x = 53,655,733.50/10,729.76
  6. Step 6: Final answer
    x = 5,000.65

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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.