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Finding the Fourth Proportional to 8,021.92, 11,060.13 and 5,184.49

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Solution

The fourth proportional to 8,021.92, 11,060.13 and 5,184.49 is: 7,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.92 : 11,060.13 = 5,184.49 : x
  2. Step 2: Convert to fraction form
    8,021.92/11,060.13 = 5,184.49/x
  3. Step 3: Cross multiply
    8,021.92x = 11,060.13 × 5,184.49
  4. Step 4: Simplify right side
    8,021.92x = 57,341,133.38
  5. Step 5: Solve for x
    x = 57,341,133.38/8,021.92
  6. Step 6: Final answer
    x = 7,148.06

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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.