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Finding the Fourth Proportional to 10,589.99, 15,885.01 and 3,196.57

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Solution

The fourth proportional to 10,589.99, 15,885.01 and 3,196.57 is: 4,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.99 : 15,885.01 = 3,196.57 : x
  2. Step 2: Convert to fraction form
    10,589.99/15,885.01 = 3,196.57/x
  3. Step 3: Cross multiply
    10,589.99x = 15,885.01 × 3,196.57
  4. Step 4: Simplify right side
    10,589.99x = 50,777,546.42
  5. Step 5: Solve for x
    x = 50,777,546.42/10,589.99
  6. Step 6: Final answer
    x = 4,794.86

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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.