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Finding the Fourth Proportional to 11,899.94, 17,849.22 and 3,579.80

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Solution

The fourth proportional to 11,899.94, 17,849.22 and 3,579.80 is: 5,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.94 : 17,849.22 = 3,579.80 : x
  2. Step 2: Convert to fraction form
    11,899.94/17,849.22 = 3,579.80/x
  3. Step 3: Cross multiply
    11,899.94x = 17,849.22 × 3,579.80
  4. Step 4: Simplify right side
    11,899.94x = 63,896,637.76
  5. Step 5: Solve for x
    x = 63,896,637.76/11,899.94
  6. Step 6: Final answer
    x = 5,369.49

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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.