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Finding the Fourth Proportional to 11,961.57, 17,942.00 and 5,726.01

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Solution

The fourth proportional to 11,961.57, 17,942.00 and 5,726.01 is: 8,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.57 : 17,942.00 = 5,726.01 : x
  2. Step 2: Convert to fraction form
    11,961.57/17,942.00 = 5,726.01/x
  3. Step 3: Cross multiply
    11,961.57x = 17,942.00 × 5,726.01
  4. Step 4: Simplify right side
    11,961.57x = 102,736,042.79
  5. Step 5: Solve for x
    x = 102,736,042.79/11,961.57
  6. Step 6: Final answer
    x = 8,588.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.