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Finding the Fourth Proportional to 8,028.82, 12,043.77 and 3,098.50

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Solution

The fourth proportional to 8,028.82, 12,043.77 and 3,098.50 is: 4,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.82 : 12,043.77 = 3,098.50 : x
  2. Step 2: Convert to fraction form
    8,028.82/12,043.77 = 3,098.50/x
  3. Step 3: Cross multiply
    8,028.82x = 12,043.77 × 3,098.50
  4. Step 4: Simplify right side
    8,028.82x = 37,317,621.35
  5. Step 5: Solve for x
    x = 37,317,621.35/8,028.82
  6. Step 6: Final answer
    x = 4,647.96

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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.