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Finding the Fourth Proportional to 10,493.55, 14,481.25 and 5,713.67

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Solution

The fourth proportional to 10,493.55, 14,481.25 and 5,713.67 is: 7,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.55 : 14,481.25 = 5,713.67 : x
  2. Step 2: Convert to fraction form
    10,493.55/14,481.25 = 5,713.67/x
  3. Step 3: Cross multiply
    10,493.55x = 14,481.25 × 5,713.67
  4. Step 4: Simplify right side
    10,493.55x = 82,741,105.61
  5. Step 5: Solve for x
    x = 82,741,105.61/10,493.55
  6. Step 6: Final answer
    x = 7,884.95

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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.