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Finding the Fourth Proportional to 27,249.78, 40,874.27 and 7,527.90

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Solution

The fourth proportional to 27,249.78, 40,874.27 and 7,527.90 is: 11,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249.78 : 40,874.27 = 7,527.90 : x
  2. Step 2: Convert to fraction form
    27,249.78/40,874.27 = 7,527.90/x
  3. Step 3: Cross multiply
    27,249.78x = 40,874.27 × 7,527.90
  4. Step 4: Simplify right side
    27,249.78x = 307,697,379.49
  5. Step 5: Solve for x
    x = 307,697,379.49/27,249.78
  6. Step 6: Final answer
    x = 11,291.74

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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.