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Finding the Fourth Proportional to 11,819.50, 16,310.71 and 6,514.21

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Solution

The fourth proportional to 11,819.50, 16,310.71 and 6,514.21 is: 8,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.50 : 16,310.71 = 6,514.21 : x
  2. Step 2: Convert to fraction form
    11,819.50/16,310.71 = 6,514.21/x
  3. Step 3: Cross multiply
    11,819.50x = 16,310.71 × 6,514.21
  4. Step 4: Simplify right side
    11,819.50x = 106,251,390.19
  5. Step 5: Solve for x
    x = 106,251,390.19/11,819.50
  6. Step 6: Final answer
    x = 8,989.50

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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.