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Finding the Fourth Proportional to 7,728.87, 11,593.30 and 1,885.47

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Solution

The fourth proportional to 7,728.87, 11,593.30 and 1,885.47 is: 2,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.87 : 11,593.30 = 1,885.47 : x
  2. Step 2: Convert to fraction form
    7,728.87/11,593.30 = 1,885.47/x
  3. Step 3: Cross multiply
    7,728.87x = 11,593.30 × 1,885.47
  4. Step 4: Simplify right side
    7,728.87x = 21,858,819.35
  5. Step 5: Solve for x
    x = 21,858,819.35/7,728.87
  6. Step 6: Final answer
    x = 2,828.20

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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.