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Finding the Fourth Proportional to 8,205.75, 12,305.58 and 2,657.65

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Solution

The fourth proportional to 8,205.75, 12,305.58 and 2,657.65 is: 3,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.75 : 12,305.58 = 2,657.65 : x
  2. Step 2: Convert to fraction form
    8,205.75/12,305.58 = 2,657.65/x
  3. Step 3: Cross multiply
    8,205.75x = 12,305.58 × 2,657.65
  4. Step 4: Simplify right side
    8,205.75x = 32,703,924.69
  5. Step 5: Solve for x
    x = 32,703,924.69/8,205.75
  6. Step 6: Final answer
    x = 3,985.49

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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.