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Finding the Fourth Proportional to 8,198.04, 12,297.87 and 2,355.51

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Solution

The fourth proportional to 8,198.04, 12,297.87 and 2,355.51 is: 3,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.04 : 12,297.87 = 2,355.51 : x
  2. Step 2: Convert to fraction form
    8,198.04/12,297.87 = 2,355.51/x
  3. Step 3: Cross multiply
    8,198.04x = 12,297.87 × 2,355.51
  4. Step 4: Simplify right side
    8,198.04x = 28,967,755.76
  5. Step 5: Solve for x
    x = 28,967,755.76/8,198.04
  6. Step 6: Final answer
    x = 3,533.50

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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.