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Finding the Fourth Proportional to 27,182.13, 40,768.48 and 7,191.87

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Solution

The fourth proportional to 27,182.13, 40,768.48 and 7,191.87 is: 10,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.13 : 40,768.48 = 7,191.87 : x
  2. Step 2: Convert to fraction form
    27,182.13/40,768.48 = 7,191.87/x
  3. Step 3: Cross multiply
    27,182.13x = 40,768.48 × 7,191.87
  4. Step 4: Simplify right side
    27,182.13x = 293,201,608.26
  5. Step 5: Solve for x
    x = 293,201,608.26/27,182.13
  6. Step 6: Final answer
    x = 10,786.56

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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.