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Finding the Fourth Proportional to 8,124, 12,185.94 and 2,280.61

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Solution

The fourth proportional to 8,124, 12,185.94 and 2,280.61 is: 3,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 12,185.94 = 2,280.61 : x
  2. Step 2: Convert to fraction form
    8,124/12,185.94 = 2,280.61/x
  3. Step 3: Cross multiply
    8,124x = 12,185.94 × 2,280.61
  4. Step 4: Simplify right side
    8,124x = 27,791,376.62
  5. Step 5: Solve for x
    x = 27,791,376.62/8,124
  6. Step 6: Final answer
    x = 3,420.90

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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.