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Finding the Fourth Proportional to 11,571, 17,359.44 and 3,363

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Solution

The fourth proportional to 11,571, 17,359.44 and 3,363 is: 5,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 17,359.44 = 3,363 : x
  2. Step 2: Convert to fraction form
    11,571/17,359.44 = 3,363/x
  3. Step 3: Cross multiply
    11,571x = 17,359.44 × 3,363
  4. Step 4: Simplify right side
    11,571x = 58,379,796.72
  5. Step 5: Solve for x
    x = 58,379,796.72/11,571
  6. Step 6: Final answer
    x = 5,045.35

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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.