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Finding the Fourth Proportional to 27,471.41, 41,203.43 and 7,751.55

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Solution

The fourth proportional to 27,471.41, 41,203.43 and 7,751.55 is: 11,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.41 : 41,203.43 = 7,751.55 : x
  2. Step 2: Convert to fraction form
    27,471.41/41,203.43 = 7,751.55/x
  3. Step 3: Cross multiply
    27,471.41x = 41,203.43 × 7,751.55
  4. Step 4: Simplify right side
    27,471.41x = 319,390,409.06
  5. Step 5: Solve for x
    x = 319,390,409.06/27,471.41
  6. Step 6: Final answer
    x = 11,626.29

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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.