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Finding the Fourth Proportional to 10,396.72, 15,593.71 and 3,822.05

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Solution

The fourth proportional to 10,396.72, 15,593.71 and 3,822.05 is: 5,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.72 : 15,593.71 = 3,822.05 : x
  2. Step 2: Convert to fraction form
    10,396.72/15,593.71 = 3,822.05/x
  3. Step 3: Cross multiply
    10,396.72x = 15,593.71 × 3,822.05
  4. Step 4: Simplify right side
    10,396.72x = 59,599,939.31
  5. Step 5: Solve for x
    x = 59,599,939.31/10,396.72
  6. Step 6: Final answer
    x = 5,732.57

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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.