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Finding the Fourth Proportional to 8,236, 12,354 and 2,080

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Solution

The fourth proportional to 8,236, 12,354 and 2,080 is: 3,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236 : 12,354 = 2,080 : x
  2. Step 2: Convert to fraction form
    8,236/12,354 = 2,080/x
  3. Step 3: Cross multiply
    8,236x = 12,354 × 2,080
  4. Step 4: Simplify right side
    8,236x = 25,696,320
  5. Step 5: Solve for x
    x = 25,696,320/8,236
  6. Step 6: Final answer
    x = 3,120

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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.