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Finding the Fourth Proportional to 8,028.43, 12,046.10 and 3,101.54

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Solution

The fourth proportional to 8,028.43, 12,046.10 and 3,101.54 is: 4,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.43 : 12,046.10 = 3,101.54 : x
  2. Step 2: Convert to fraction form
    8,028.43/12,046.10 = 3,101.54/x
  3. Step 3: Cross multiply
    8,028.43x = 12,046.10 × 3,101.54
  4. Step 4: Simplify right side
    8,028.43x = 37,361,385.26
  5. Step 5: Solve for x
    x = 37,361,385.26/8,028.43
  6. Step 6: Final answer
    x = 4,653.64

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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.