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Finding the Fourth Proportional to 27,536.52, 41,305.16 and 6,760

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Solution

The fourth proportional to 27,536.52, 41,305.16 and 6,760 is: 10,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536.52 : 41,305.16 = 6,760 : x
  2. Step 2: Convert to fraction form
    27,536.52/41,305.16 = 6,760/x
  3. Step 3: Cross multiply
    27,536.52x = 41,305.16 × 6,760
  4. Step 4: Simplify right side
    27,536.52x = 279,222,881.60
  5. Step 5: Solve for x
    x = 279,222,881.60/27,536.52
  6. Step 6: Final answer
    x = 10,140.09

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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.