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Finding the Fourth Proportional to 8,082.09, 12,130.44 and 3,405.57

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Solution

The fourth proportional to 8,082.09, 12,130.44 and 3,405.57 is: 5,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.09 : 12,130.44 = 3,405.57 : x
  2. Step 2: Convert to fraction form
    8,082.09/12,130.44 = 3,405.57/x
  3. Step 3: Cross multiply
    8,082.09x = 12,130.44 × 3,405.57
  4. Step 4: Simplify right side
    8,082.09x = 41,311,062.55
  5. Step 5: Solve for x
    x = 41,311,062.55/8,082.09
  6. Step 6: Final answer
    x = 5,111.43

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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.