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Finding the Fourth Proportional to 11,819.82, 16,311.07 and 6,514.53

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Solution

The fourth proportional to 11,819.82, 16,311.07 and 6,514.53 is: 8,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.82 : 16,311.07 = 6,514.53 : x
  2. Step 2: Convert to fraction form
    11,819.82/16,311.07 = 6,514.53/x
  3. Step 3: Cross multiply
    11,819.82x = 16,311.07 × 6,514.53
  4. Step 4: Simplify right side
    11,819.82x = 106,258,901.82
  5. Step 5: Solve for x
    x = 106,258,901.82/11,819.82
  6. Step 6: Final answer
    x = 8,989.89

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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.