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Finding the Fourth Proportional to 8,188.75, 12,283.21 and 2,032.75

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Solution

The fourth proportional to 8,188.75, 12,283.21 and 2,032.75 is: 3,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.75 : 12,283.21 = 2,032.75 : x
  2. Step 2: Convert to fraction form
    8,188.75/12,283.21 = 2,032.75/x
  3. Step 3: Cross multiply
    8,188.75x = 12,283.21 × 2,032.75
  4. Step 4: Simplify right side
    8,188.75x = 24,968,684.96
  5. Step 5: Solve for x
    x = 24,968,684.96/8,188.75
  6. Step 6: Final answer
    x = 3,049.14

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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.