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Finding the Fourth Proportional to 8,092.88, 12,138.84 and 4,763

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Solution

The fourth proportional to 8,092.88, 12,138.84 and 4,763 is: 7,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.88 : 12,138.84 = 4,763 : x
  2. Step 2: Convert to fraction form
    8,092.88/12,138.84 = 4,763/x
  3. Step 3: Cross multiply
    8,092.88x = 12,138.84 × 4,763
  4. Step 4: Simplify right side
    8,092.88x = 57,817,294.92
  5. Step 5: Solve for x
    x = 57,817,294.92/8,092.88
  6. Step 6: Final answer
    x = 7,144.22

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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.