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Finding the Fourth Proportional to 11,013.75, 15,198.38 and 6,234.26

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Solution

The fourth proportional to 11,013.75, 15,198.38 and 6,234.26 is: 8,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.75 : 15,198.38 = 6,234.26 : x
  2. Step 2: Convert to fraction form
    11,013.75/15,198.38 = 6,234.26/x
  3. Step 3: Cross multiply
    11,013.75x = 15,198.38 × 6,234.26
  4. Step 4: Simplify right side
    11,013.75x = 94,750,545.34
  5. Step 5: Solve for x
    x = 94,750,545.34/11,013.75
  6. Step 6: Final answer
    x = 8,602.93

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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.