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Finding the Fourth Proportional to 8,301.34, 11,440.06 and 5,939.38

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Solution

The fourth proportional to 8,301.34, 11,440.06 and 5,939.38 is: 8,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.34 : 11,440.06 = 5,939.38 : x
  2. Step 2: Convert to fraction form
    8,301.34/11,440.06 = 5,939.38/x
  3. Step 3: Cross multiply
    8,301.34x = 11,440.06 × 5,939.38
  4. Step 4: Simplify right side
    8,301.34x = 67,946,863.56
  5. Step 5: Solve for x
    x = 67,946,863.56/8,301.34
  6. Step 6: Final answer
    x = 8,185.05

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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.