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Finding the Fourth Proportional to 7,728.92, 11,593.26 and 1,885.52

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Solution

The fourth proportional to 7,728.92, 11,593.26 and 1,885.52 is: 2,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.92 : 11,593.26 = 1,885.52 : x
  2. Step 2: Convert to fraction form
    7,728.92/11,593.26 = 1,885.52/x
  3. Step 3: Cross multiply
    7,728.92x = 11,593.26 × 1,885.52
  4. Step 4: Simplify right side
    7,728.92x = 21,859,323.60
  5. Step 5: Solve for x
    x = 21,859,323.60/7,728.92
  6. Step 6: Final answer
    x = 2,828.25

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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.