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Finding the Fourth Proportional to 8,287.08, 12,432.78 and 3,093

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Solution

The fourth proportional to 8,287.08, 12,432.78 and 3,093 is: 4,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.08 : 12,432.78 = 3,093 : x
  2. Step 2: Convert to fraction form
    8,287.08/12,432.78 = 3,093/x
  3. Step 3: Cross multiply
    8,287.08x = 12,432.78 × 3,093
  4. Step 4: Simplify right side
    8,287.08x = 38,454,588.54
  5. Step 5: Solve for x
    x = 38,454,588.54/8,287.08
  6. Step 6: Final answer
    x = 4,640.31

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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.