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Finding the Fourth Proportional to 6,855.45, 10,302.39 and 4,082.55

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Solution

The fourth proportional to 6,855.45, 10,302.39 and 4,082.55 is: 6,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.45 : 10,302.39 = 4,082.55 : x
  2. Step 2: Convert to fraction form
    6,855.45/10,302.39 = 4,082.55/x
  3. Step 3: Cross multiply
    6,855.45x = 10,302.39 × 4,082.55
  4. Step 4: Simplify right side
    6,855.45x = 42,060,022.29
  5. Step 5: Solve for x
    x = 42,060,022.29/6,855.45
  6. Step 6: Final answer
    x = 6,135.27

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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.