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Finding the Fourth Proportional to 6,438.15, 8,882.06 and 4,082.67

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Solution

The fourth proportional to 6,438.15, 8,882.06 and 4,082.67 is: 5,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.15 : 8,882.06 = 4,082.67 : x
  2. Step 2: Convert to fraction form
    6,438.15/8,882.06 = 4,082.67/x
  3. Step 3: Cross multiply
    6,438.15x = 8,882.06 × 4,082.67
  4. Step 4: Simplify right side
    6,438.15x = 36,262,499.49
  5. Step 5: Solve for x
    x = 36,262,499.49/6,438.15
  6. Step 6: Final answer
    x = 5,632.44

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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.