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Finding the Fourth Proportional to 7,728.71, 11,593.54 and 2,182.48

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Solution

The fourth proportional to 7,728.71, 11,593.54 and 2,182.48 is: 3,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.71 : 11,593.54 = 2,182.48 : x
  2. Step 2: Convert to fraction form
    7,728.71/11,593.54 = 2,182.48/x
  3. Step 3: Cross multiply
    7,728.71x = 11,593.54 × 2,182.48
  4. Step 4: Simplify right side
    7,728.71x = 25,302,649.06
  5. Step 5: Solve for x
    x = 25,302,649.06/7,728.71
  6. Step 6: Final answer
    x = 3,273.85

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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.