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Finding the Fourth Proportional to 11,019.27, 15,206.49 and 5,983.38

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Solution

The fourth proportional to 11,019.27, 15,206.49 and 5,983.38 is: 8,257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.27 : 15,206.49 = 5,983.38 : x
  2. Step 2: Convert to fraction form
    11,019.27/15,206.49 = 5,983.38/x
  3. Step 3: Cross multiply
    11,019.27x = 15,206.49 × 5,983.38
  4. Step 4: Simplify right side
    11,019.27x = 90,986,208.14
  5. Step 5: Solve for x
    x = 90,986,208.14/11,019.27
  6. Step 6: Final answer
    x = 8,257.01

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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.