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Finding the Fourth Proportional to 11,711.52, 16,138.44 and 8,519.58

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Solution

The fourth proportional to 11,711.52, 16,138.44 and 8,519.58 is: 11,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.52 : 16,138.44 = 8,519.58 : x
  2. Step 2: Convert to fraction form
    11,711.52/16,138.44 = 8,519.58/x
  3. Step 3: Cross multiply
    11,711.52x = 16,138.44 × 8,519.58
  4. Step 4: Simplify right side
    11,711.52x = 137,492,730.66
  5. Step 5: Solve for x
    x = 137,492,730.66/11,711.52
  6. Step 6: Final answer
    x = 11,739.96

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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.