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Finding the Fourth Proportional to 27,180.72, 40,771.12 and 7,458.48

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Solution

The fourth proportional to 27,180.72, 40,771.12 and 7,458.48 is: 11,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.72 : 40,771.12 = 7,458.48 : x
  2. Step 2: Convert to fraction form
    27,180.72/40,771.12 = 7,458.48/x
  3. Step 3: Cross multiply
    27,180.72x = 40,771.12 × 7,458.48
  4. Step 4: Simplify right side
    27,180.72x = 304,090,583.10
  5. Step 5: Solve for x
    x = 304,090,583.10/27,180.72
  6. Step 6: Final answer
    x = 11,187.73

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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.