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Finding the Fourth Proportional to 8,132, 12,198.60 and 5,954.48

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Solution

The fourth proportional to 8,132, 12,198.60 and 5,954.48 is: 8,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132 : 12,198.60 = 5,954.48 : x
  2. Step 2: Convert to fraction form
    8,132/12,198.60 = 5,954.48/x
  3. Step 3: Cross multiply
    8,132x = 12,198.60 × 5,954.48
  4. Step 4: Simplify right side
    8,132x = 72,636,319.73
  5. Step 5: Solve for x
    x = 72,636,319.73/8,132
  6. Step 6: Final answer
    x = 8,932.16

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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.