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Finding the Fourth Proportional to 9,082.88, 13,633.86 and 8,049.50

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Solution

The fourth proportional to 9,082.88, 13,633.86 and 8,049.50 is: 12,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.88 : 13,633.86 = 8,049.50 : x
  2. Step 2: Convert to fraction form
    9,082.88/13,633.86 = 8,049.50/x
  3. Step 3: Cross multiply
    9,082.88x = 13,633.86 × 8,049.50
  4. Step 4: Simplify right side
    9,082.88x = 109,745,756.07
  5. Step 5: Solve for x
    x = 109,745,756.07/9,082.88
  6. Step 6: Final answer
    x = 12,082.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.