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Finding the Fourth Proportional to 26,911.34, 40,367.77 and 7,189.91

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Solution

The fourth proportional to 26,911.34, 40,367.77 and 7,189.91 is: 10,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,911.34 : 40,367.77 = 7,189.91 : x
  2. Step 2: Convert to fraction form
    26,911.34/40,367.77 = 7,189.91/x
  3. Step 3: Cross multiply
    26,911.34x = 40,367.77 × 7,189.91
  4. Step 4: Simplify right side
    26,911.34x = 290,240,791.83
  5. Step 5: Solve for x
    x = 290,240,791.83/26,911.34
  6. Step 6: Final answer
    x = 10,785.07

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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.