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Finding the Fourth Proportional to 11,819.53, 16,311.29 and 6,514.68

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Solution

The fourth proportional to 11,819.53, 16,311.29 and 6,514.68 is: 8,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.53 : 16,311.29 = 6,514.68 : x
  2. Step 2: Convert to fraction form
    11,819.53/16,311.29 = 6,514.68/x
  3. Step 3: Cross multiply
    11,819.53x = 16,311.29 × 6,514.68
  4. Step 4: Simplify right side
    11,819.53x = 106,262,834.74
  5. Step 5: Solve for x
    x = 106,262,834.74/11,819.53
  6. Step 6: Final answer
    x = 8,990.45

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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.