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Finding the Fourth Proportional to 8,284.63, 12,424.32 and 2,736.94

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Solution

The fourth proportional to 8,284.63, 12,424.32 and 2,736.94 is: 4,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.63 : 12,424.32 = 2,736.94 : x
  2. Step 2: Convert to fraction form
    8,284.63/12,424.32 = 2,736.94/x
  3. Step 3: Cross multiply
    8,284.63x = 12,424.32 × 2,736.94
  4. Step 4: Simplify right side
    8,284.63x = 34,004,618.38
  5. Step 5: Solve for x
    x = 34,004,618.38/8,284.63
  6. Step 6: Final answer
    x = 4,104.54

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Why These Related Problems?

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