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Finding the Fourth Proportional to 27,811.36, 41,717.22 and 7,034.92

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Solution

The fourth proportional to 27,811.36, 41,717.22 and 7,034.92 is: 10,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.36 : 41,717.22 = 7,034.92 : x
  2. Step 2: Convert to fraction form
    27,811.36/41,717.22 = 7,034.92/x
  3. Step 3: Cross multiply
    27,811.36x = 41,717.22 × 7,034.92
  4. Step 4: Simplify right side
    27,811.36x = 293,477,305.32
  5. Step 5: Solve for x
    x = 293,477,305.32/27,811.36
  6. Step 6: Final answer
    x = 10,552.43

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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.