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Finding the Fourth Proportional to 27,262.48, 40,893.98 and 7,542.12

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Solution

The fourth proportional to 27,262.48, 40,893.98 and 7,542.12 is: 11,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.48 : 40,893.98 = 7,542.12 : x
  2. Step 2: Convert to fraction form
    27,262.48/40,893.98 = 7,542.12/x
  3. Step 3: Cross multiply
    27,262.48x = 40,893.98 × 7,542.12
  4. Step 4: Simplify right side
    27,262.48x = 308,427,304.44
  5. Step 5: Solve for x
    x = 308,427,304.44/27,262.48
  6. Step 6: Final answer
    x = 11,313.25

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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.