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Finding the Fourth Proportional to 8,100, 12,122.57 and 4,981.99

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Solution

The fourth proportional to 8,100, 12,122.57 and 4,981.99 is: 7,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 12,122.57 = 4,981.99 : x
  2. Step 2: Convert to fraction form
    8,100/12,122.57 = 4,981.99/x
  3. Step 3: Cross multiply
    8,100x = 12,122.57 × 4,981.99
  4. Step 4: Simplify right side
    8,100x = 60,394,436.99
  5. Step 5: Solve for x
    x = 60,394,436.99/8,100
  6. Step 6: Final answer
    x = 7,456.10

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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.