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Finding the Fourth Proportional to 27,537.13, 41,305.74 and 6,760.63

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Solution

The fourth proportional to 27,537.13, 41,305.74 and 6,760.63 is: 10,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.13 : 41,305.74 = 6,760.63 : x
  2. Step 2: Convert to fraction form
    27,537.13/41,305.74 = 6,760.63/x
  3. Step 3: Cross multiply
    27,537.13x = 41,305.74 × 6,760.63
  4. Step 4: Simplify right side
    27,537.13x = 279,252,825.02
  5. Step 5: Solve for x
    x = 279,252,825.02/27,537.13
  6. Step 6: Final answer
    x = 10,140.96

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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.