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Finding the Fourth Proportional to 8,297.31, 12,438.50 and 3,028.65

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Solution

The fourth proportional to 8,297.31, 12,438.50 and 3,028.65 is: 4,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.31 : 12,438.50 = 3,028.65 : x
  2. Step 2: Convert to fraction form
    8,297.31/12,438.50 = 3,028.65/x
  3. Step 3: Cross multiply
    8,297.31x = 12,438.50 × 3,028.65
  4. Step 4: Simplify right side
    8,297.31x = 37,671,847.88
  5. Step 5: Solve for x
    x = 37,671,847.88/8,297.31
  6. Step 6: Final answer
    x = 4,540.25

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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.