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Finding the Fourth Proportional to 10,493.94, 14,481.17 and 6,014.48

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Solution

The fourth proportional to 10,493.94, 14,481.17 and 6,014.48 is: 8,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.94 : 14,481.17 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    10,493.94/14,481.17 = 6,014.48/x
  3. Step 3: Cross multiply
    10,493.94x = 14,481.17 × 6,014.48
  4. Step 4: Simplify right side
    10,493.94x = 87,096,707.34
  5. Step 5: Solve for x
    x = 87,096,707.34/10,493.94
  6. Step 6: Final answer
    x = 8,299.71

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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.