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Finding the Fourth Proportional to 11,271.95, 16,906.70 and 3,876.24

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Solution

The fourth proportional to 11,271.95, 16,906.70 and 3,876.24 is: 5,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271.95 : 16,906.70 = 3,876.24 : x
  2. Step 2: Convert to fraction form
    11,271.95/16,906.70 = 3,876.24/x
  3. Step 3: Cross multiply
    11,271.95x = 16,906.70 × 3,876.24
  4. Step 4: Simplify right side
    11,271.95x = 65,534,436.50
  5. Step 5: Solve for x
    x = 65,534,436.50/11,271.95
  6. Step 6: Final answer
    x = 5,813.94

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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.