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Finding the Fourth Proportional to 8,241.66, 12,364.11 and 3,047.58

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Solution

The fourth proportional to 8,241.66, 12,364.11 and 3,047.58 is: 4,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.66 : 12,364.11 = 3,047.58 : x
  2. Step 2: Convert to fraction form
    8,241.66/12,364.11 = 3,047.58/x
  3. Step 3: Cross multiply
    8,241.66x = 12,364.11 × 3,047.58
  4. Step 4: Simplify right side
    8,241.66x = 37,680,614.35
  5. Step 5: Solve for x
    x = 37,680,614.35/8,241.66
  6. Step 6: Final answer
    x = 4,571.97

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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.