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Finding the Fourth Proportional to 8,296.89, 11,449.74 and 4,939.83

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Solution

The fourth proportional to 8,296.89, 11,449.74 and 4,939.83 is: 6,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.89 : 11,449.74 = 4,939.83 : x
  2. Step 2: Convert to fraction form
    8,296.89/11,449.74 = 4,939.83/x
  3. Step 3: Cross multiply
    8,296.89x = 11,449.74 × 4,939.83
  4. Step 4: Simplify right side
    8,296.89x = 56,559,769.14
  5. Step 5: Solve for x
    x = 56,559,769.14/8,296.89
  6. Step 6: Final answer
    x = 6,816.98

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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.