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Finding the Fourth Proportional to 8,384.91, 11,571.44 and 6,285.39

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Solution

The fourth proportional to 8,384.91, 11,571.44 and 6,285.39 is: 8,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.91 : 11,571.44 = 6,285.39 : x
  2. Step 2: Convert to fraction form
    8,384.91/11,571.44 = 6,285.39/x
  3. Step 3: Cross multiply
    8,384.91x = 11,571.44 × 6,285.39
  4. Step 4: Simplify right side
    8,384.91x = 72,730,981.83
  5. Step 5: Solve for x
    x = 72,730,981.83/8,384.91
  6. Step 6: Final answer
    x = 8,674.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.