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Finding the Fourth Proportional to 11,267.24, 16,900.92 and 2,947.28

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Solution

The fourth proportional to 11,267.24, 16,900.92 and 2,947.28 is: 4,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.24 : 16,900.92 = 2,947.28 : x
  2. Step 2: Convert to fraction form
    11,267.24/16,900.92 = 2,947.28/x
  3. Step 3: Cross multiply
    11,267.24x = 16,900.92 × 2,947.28
  4. Step 4: Simplify right side
    11,267.24x = 49,811,743.50
  5. Step 5: Solve for x
    x = 49,811,743.50/11,267.24
  6. Step 6: Final answer
    x = 4,420.94

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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.