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Finding the Fourth Proportional to 27,185.26, 40,778.16 and 7,463.82

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Solution

The fourth proportional to 27,185.26, 40,778.16 and 7,463.82 is: 11,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.26 : 40,778.16 = 7,463.82 : x
  2. Step 2: Convert to fraction form
    27,185.26/40,778.16 = 7,463.82/x
  3. Step 3: Cross multiply
    27,185.26x = 40,778.16 × 7,463.82
  4. Step 4: Simplify right side
    27,185.26x = 304,360,846.17
  5. Step 5: Solve for x
    x = 304,360,846.17/27,185.26
  6. Step 6: Final answer
    x = 11,195.80

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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.