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Finding the Fourth Proportional to 8,238.48, 11,359.08 and 5,722.68

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Solution

The fourth proportional to 8,238.48, 11,359.08 and 5,722.68 is: 7,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.48 : 11,359.08 = 5,722.68 : x
  2. Step 2: Convert to fraction form
    8,238.48/11,359.08 = 5,722.68/x
  3. Step 3: Cross multiply
    8,238.48x = 11,359.08 × 5,722.68
  4. Step 4: Simplify right side
    8,238.48x = 65,004,379.93
  5. Step 5: Solve for x
    x = 65,004,379.93/8,238.48
  6. Step 6: Final answer
    x = 7,890.34

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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.