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Finding the Fourth Proportional to 8,099.50, 12,121.82 and 4,981.49

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Solution

The fourth proportional to 8,099.50, 12,121.82 and 4,981.49 is: 7,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.50 : 12,121.82 = 4,981.49 : x
  2. Step 2: Convert to fraction form
    8,099.50/12,121.82 = 4,981.49/x
  3. Step 3: Cross multiply
    8,099.50x = 12,121.82 × 4,981.49
  4. Step 4: Simplify right side
    8,099.50x = 60,384,639.60
  5. Step 5: Solve for x
    x = 60,384,639.60/8,099.50
  6. Step 6: Final answer
    x = 7,455.35

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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.