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Finding the Fourth Proportional to 8,097.84, 12,150.41 and 3,655.80

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Solution

The fourth proportional to 8,097.84, 12,150.41 and 3,655.80 is: 5,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.84 : 12,150.41 = 3,655.80 : x
  2. Step 2: Convert to fraction form
    8,097.84/12,150.41 = 3,655.80/x
  3. Step 3: Cross multiply
    8,097.84x = 12,150.41 × 3,655.80
  4. Step 4: Simplify right side
    8,097.84x = 44,419,450.60
  5. Step 5: Solve for x
    x = 44,419,450.60/8,097.84
  6. Step 6: Final answer
    x = 5,485.35

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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.