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Finding the Fourth Proportional to 8,296.30, 12,449.66 and 3,365.96

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Solution

The fourth proportional to 8,296.30, 12,449.66 and 3,365.96 is: 5,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.30 : 12,449.66 = 3,365.96 : x
  2. Step 2: Convert to fraction form
    8,296.30/12,449.66 = 3,365.96/x
  3. Step 3: Cross multiply
    8,296.30x = 12,449.66 × 3,365.96
  4. Step 4: Simplify right side
    8,296.30x = 41,905,057.57
  5. Step 5: Solve for x
    x = 41,905,057.57/8,296.30
  6. Step 6: Final answer
    x = 5,051.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.