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Finding the Fourth Proportional to 11,808.83, 16,297.34 and 8,819.48

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Solution

The fourth proportional to 11,808.83, 16,297.34 and 8,819.48 is: 12,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.83 : 16,297.34 = 8,819.48 : x
  2. Step 2: Convert to fraction form
    11,808.83/16,297.34 = 8,819.48/x
  3. Step 3: Cross multiply
    11,808.83x = 16,297.34 × 8,819.48
  4. Step 4: Simplify right side
    11,808.83x = 143,734,060.83
  5. Step 5: Solve for x
    x = 143,734,060.83/11,808.83
  6. Step 6: Final answer
    x = 12,171.74

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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.