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Finding the Fourth Proportional to 11,561.71, 17,343.05 and 3,664.05

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Solution

The fourth proportional to 11,561.71, 17,343.05 and 3,664.05 is: 5,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.71 : 17,343.05 = 3,664.05 : x
  2. Step 2: Convert to fraction form
    11,561.71/17,343.05 = 3,664.05/x
  3. Step 3: Cross multiply
    11,561.71x = 17,343.05 × 3,664.05
  4. Step 4: Simplify right side
    11,561.71x = 63,545,896.24
  5. Step 5: Solve for x
    x = 63,545,896.24/11,561.71
  6. Step 6: Final answer
    x = 5,496.24

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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.