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Finding the Fourth Proportional to 8,241.65, 12,366.54 and 3,858.35

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Solution

The fourth proportional to 8,241.65, 12,366.54 and 3,858.35 is: 5,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.65 : 12,366.54 = 3,858.35 : x
  2. Step 2: Convert to fraction form
    8,241.65/12,366.54 = 3,858.35/x
  3. Step 3: Cross multiply
    8,241.65x = 12,366.54 × 3,858.35
  4. Step 4: Simplify right side
    8,241.65x = 47,714,439.61
  5. Step 5: Solve for x
    x = 47,714,439.61/8,241.65
  6. Step 6: Final answer
    x = 5,789.43

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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.