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Finding the Fourth Proportional to 11,615.75, 16,029.81 and 6,310.56

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Solution

The fourth proportional to 11,615.75, 16,029.81 and 6,310.56 is: 8,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.75 : 16,029.81 = 6,310.56 : x
  2. Step 2: Convert to fraction form
    11,615.75/16,029.81 = 6,310.56/x
  3. Step 3: Cross multiply
    11,615.75x = 16,029.81 × 6,310.56
  4. Step 4: Simplify right side
    11,615.75x = 101,157,137.91
  5. Step 5: Solve for x
    x = 101,157,137.91/11,615.75
  6. Step 6: Final answer
    x = 8,708.62

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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.