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Finding the Fourth Proportional to 11,211.75, 16,806.08 and 4,974.70

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Solution

The fourth proportional to 11,211.75, 16,806.08 and 4,974.70 is: 7,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.75 : 16,806.08 = 4,974.70 : x
  2. Step 2: Convert to fraction form
    11,211.75/16,806.08 = 4,974.70/x
  3. Step 3: Cross multiply
    11,211.75x = 16,806.08 × 4,974.70
  4. Step 4: Simplify right side
    11,211.75x = 83,605,206.18
  5. Step 5: Solve for x
    x = 83,605,206.18/11,211.75
  6. Step 6: Final answer
    x = 7,456.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.