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Finding the Fourth Proportional to 10,650.26, 15,976.50 and 4,082

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Solution

The fourth proportional to 10,650.26, 15,976.50 and 4,082 is: 6,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.26 : 15,976.50 = 4,082 : x
  2. Step 2: Convert to fraction form
    10,650.26/15,976.50 = 4,082/x
  3. Step 3: Cross multiply
    10,650.26x = 15,976.50 × 4,082
  4. Step 4: Simplify right side
    10,650.26x = 65,216,073
  5. Step 5: Solve for x
    x = 65,216,073/10,650.26
  6. Step 6: Final answer
    x = 6,123.43

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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.