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Finding the Fourth Proportional to 10,396.96, 15,593.82 and 3,821.58

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Solution

The fourth proportional to 10,396.96, 15,593.82 and 3,821.58 is: 5,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.96 : 15,593.82 = 3,821.58 : x
  2. Step 2: Convert to fraction form
    10,396.96/15,593.82 = 3,821.58/x
  3. Step 3: Cross multiply
    10,396.96x = 15,593.82 × 3,821.58
  4. Step 4: Simplify right side
    10,396.96x = 59,593,016.30
  5. Step 5: Solve for x
    x = 59,593,016.30/10,396.96
  6. Step 6: Final answer
    x = 5,731.77

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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.