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Finding the Fourth Proportional to 8,082.34, 12,130.82 and 3,405.82

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Solution

The fourth proportional to 8,082.34, 12,130.82 and 3,405.82 is: 5,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.34 : 12,130.82 = 3,405.82 : x
  2. Step 2: Convert to fraction form
    8,082.34/12,130.82 = 3,405.82/x
  3. Step 3: Cross multiply
    8,082.34x = 12,130.82 × 3,405.82
  4. Step 4: Simplify right side
    8,082.34x = 41,315,389.37
  5. Step 5: Solve for x
    x = 41,315,389.37/8,082.34
  6. Step 6: Final answer
    x = 5,111.81

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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.