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Finding the Fourth Proportional to 11,697.21, 16,137.33 and 8,162.47

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Solution

The fourth proportional to 11,697.21, 16,137.33 and 8,162.47 is: 11,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.21 : 16,137.33 = 8,162.47 : x
  2. Step 2: Convert to fraction form
    11,697.21/16,137.33 = 8,162.47/x
  3. Step 3: Cross multiply
    11,697.21x = 16,137.33 × 8,162.47
  4. Step 4: Simplify right side
    11,697.21x = 131,720,461.57
  5. Step 5: Solve for x
    x = 131,720,461.57/11,697.21
  6. Step 6: Final answer
    x = 11,260.84

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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.