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Finding the Fourth Proportional to 27,697.56, 41,542.69 and 7,708.38

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Solution

The fourth proportional to 27,697.56, 41,542.69 and 7,708.38 is: 11,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.56 : 41,542.69 = 7,708.38 : x
  2. Step 2: Convert to fraction form
    27,697.56/41,542.69 = 7,708.38/x
  3. Step 3: Cross multiply
    27,697.56x = 41,542.69 × 7,708.38
  4. Step 4: Simplify right side
    27,697.56x = 320,226,746.52
  5. Step 5: Solve for x
    x = 320,226,746.52/27,697.56
  6. Step 6: Final answer
    x = 11,561.55

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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.