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Finding the Fourth Proportional to 11,084, 16,628.74 and 3,292.78

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Solution

The fourth proportional to 11,084, 16,628.74 and 3,292.78 is: 4,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084 : 16,628.74 = 3,292.78 : x
  2. Step 2: Convert to fraction form
    11,084/16,628.74 = 3,292.78/x
  3. Step 3: Cross multiply
    11,084x = 16,628.74 × 3,292.78
  4. Step 4: Simplify right side
    11,084x = 54,754,782.50
  5. Step 5: Solve for x
    x = 54,754,782.50/11,084
  6. Step 6: Final answer
    x = 4,939.98

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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.