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Finding the Fourth Proportional to 7,728.54, 11,593.62 and 2,534.82

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Solution

The fourth proportional to 7,728.54, 11,593.62 and 2,534.82 is: 3,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.54 : 11,593.62 = 2,534.82 : x
  2. Step 2: Convert to fraction form
    7,728.54/11,593.62 = 2,534.82/x
  3. Step 3: Cross multiply
    7,728.54x = 11,593.62 × 2,534.82
  4. Step 4: Simplify right side
    7,728.54x = 29,387,739.85
  5. Step 5: Solve for x
    x = 29,387,739.85/7,728.54
  6. Step 6: Final answer
    x = 3,802.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.