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Finding the Fourth Proportional to 8,103.88, 12,156.41 and 2,838.30

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Solution

The fourth proportional to 8,103.88, 12,156.41 and 2,838.30 is: 4,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.88 : 12,156.41 = 2,838.30 : x
  2. Step 2: Convert to fraction form
    8,103.88/12,156.41 = 2,838.30/x
  3. Step 3: Cross multiply
    8,103.88x = 12,156.41 × 2,838.30
  4. Step 4: Simplify right side
    8,103.88x = 34,503,538.50
  5. Step 5: Solve for x
    x = 34,503,538.50/8,103.88
  6. Step 6: Final answer
    x = 4,257.66

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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.