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Finding the Fourth Proportional to 11,819.90, 16,311.58 and 6,514.58

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Solution

The fourth proportional to 11,819.90, 16,311.58 and 6,514.58 is: 8,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.90 : 16,311.58 = 6,514.58 : x
  2. Step 2: Convert to fraction form
    11,819.90/16,311.58 = 6,514.58/x
  3. Step 3: Cross multiply
    11,819.90x = 16,311.58 × 6,514.58
  4. Step 4: Simplify right side
    11,819.90x = 106,263,092.84
  5. Step 5: Solve for x
    x = 106,263,092.84/11,819.90
  6. Step 6: Final answer
    x = 8,990.19

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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.