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Finding the Fourth Proportional to 8,384.52, 11,571.09 and 4,750.68

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Solution

The fourth proportional to 8,384.52, 11,571.09 and 4,750.68 is: 6,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.52 : 11,571.09 = 4,750.68 : x
  2. Step 2: Convert to fraction form
    8,384.52/11,571.09 = 4,750.68/x
  3. Step 3: Cross multiply
    8,384.52x = 11,571.09 × 4,750.68
  4. Step 4: Simplify right side
    8,384.52x = 54,970,545.84
  5. Step 5: Solve for x
    x = 54,970,545.84/8,384.52
  6. Step 6: Final answer
    x = 6,556.19

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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.