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Finding the Fourth Proportional to 8,296.29, 12,435.24 and 3,364.47

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Solution

The fourth proportional to 8,296.29, 12,435.24 and 3,364.47 is: 5,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.29 : 12,435.24 = 3,364.47 : x
  2. Step 2: Convert to fraction form
    8,296.29/12,435.24 = 3,364.47/x
  3. Step 3: Cross multiply
    8,296.29x = 12,435.24 × 3,364.47
  4. Step 4: Simplify right side
    8,296.29x = 41,837,991.92
  5. Step 5: Solve for x
    x = 41,837,991.92/8,296.29
  6. Step 6: Final answer
    x = 5,042.98

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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.