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Finding the Fourth Proportional to 8,124.99, 12,185.02 and 4,227.27

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Solution

The fourth proportional to 8,124.99, 12,185.02 and 4,227.27 is: 6,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.99 : 12,185.02 = 4,227.27 : x
  2. Step 2: Convert to fraction form
    8,124.99/12,185.02 = 4,227.27/x
  3. Step 3: Cross multiply
    8,124.99x = 12,185.02 × 4,227.27
  4. Step 4: Simplify right side
    8,124.99x = 51,509,369.50
  5. Step 5: Solve for x
    x = 51,509,369.50/8,124.99
  6. Step 6: Final answer
    x = 6,339.62

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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.