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Finding the Fourth Proportional to 8,299.94, 12,451.14 and 2,455.82

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Solution

The fourth proportional to 8,299.94, 12,451.14 and 2,455.82 is: 3,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.94 : 12,451.14 = 2,455.82 : x
  2. Step 2: Convert to fraction form
    8,299.94/12,451.14 = 2,455.82/x
  3. Step 3: Cross multiply
    8,299.94x = 12,451.14 × 2,455.82
  4. Step 4: Simplify right side
    8,299.94x = 30,577,758.63
  5. Step 5: Solve for x
    x = 30,577,758.63/8,299.94
  6. Step 6: Final answer
    x = 3,684.09

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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.