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Finding the Fourth Proportional to 8,241.55, 12,356.69 and 3,965.01

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Solution

The fourth proportional to 8,241.55, 12,356.69 and 3,965.01 is: 5,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.55 : 12,356.69 = 3,965.01 : x
  2. Step 2: Convert to fraction form
    8,241.55/12,356.69 = 3,965.01/x
  3. Step 3: Cross multiply
    8,241.55x = 12,356.69 × 3,965.01
  4. Step 4: Simplify right side
    8,241.55x = 48,994,425.06
  5. Step 5: Solve for x
    x = 48,994,425.06/8,241.55
  6. Step 6: Final answer
    x = 5,944.81

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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.