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Finding the Fourth Proportional to 10,082.21, 13,911.41 and 5,889.65

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Solution

The fourth proportional to 10,082.21, 13,911.41 and 5,889.65 is: 8,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.21 : 13,911.41 = 5,889.65 : x
  2. Step 2: Convert to fraction form
    10,082.21/13,911.41 = 5,889.65/x
  3. Step 3: Cross multiply
    10,082.21x = 13,911.41 × 5,889.65
  4. Step 4: Simplify right side
    10,082.21x = 81,933,236.90
  5. Step 5: Solve for x
    x = 81,933,236.90/10,082.21
  6. Step 6: Final answer
    x = 8,126.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.