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Finding the Fourth Proportional to 8,291.44, 12,435.96 and 2,448.52

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Solution

The fourth proportional to 8,291.44, 12,435.96 and 2,448.52 is: 3,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.44 : 12,435.96 = 2,448.52 : x
  2. Step 2: Convert to fraction form
    8,291.44/12,435.96 = 2,448.52/x
  3. Step 3: Cross multiply
    8,291.44x = 12,435.96 × 2,448.52
  4. Step 4: Simplify right side
    8,291.44x = 30,449,696.78
  5. Step 5: Solve for x
    x = 30,449,696.78/8,291.44
  6. Step 6: Final answer
    x = 3,672.43

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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.