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Finding the Fourth Proportional to 11,013, 15,198.18 and 6,045

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Solution

The fourth proportional to 11,013, 15,198.18 and 6,045 is: 8,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013 : 15,198.18 = 6,045 : x
  2. Step 2: Convert to fraction form
    11,013/15,198.18 = 6,045/x
  3. Step 3: Cross multiply
    11,013x = 15,198.18 × 6,045
  4. Step 4: Simplify right side
    11,013x = 91,872,998.10
  5. Step 5: Solve for x
    x = 91,872,998.10/11,013
  6. Step 6: Final answer
    x = 8,342.23

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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.