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Finding the Fourth Proportional to 8,082.30, 12,103.98 and 5,477.34

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Solution

The fourth proportional to 8,082.30, 12,103.98 and 5,477.34 is: 8,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.30 : 12,103.98 = 5,477.34 : x
  2. Step 2: Convert to fraction form
    8,082.30/12,103.98 = 5,477.34/x
  3. Step 3: Cross multiply
    8,082.30x = 12,103.98 × 5,477.34
  4. Step 4: Simplify right side
    8,082.30x = 66,297,613.81
  5. Step 5: Solve for x
    x = 66,297,613.81/8,082.30
  6. Step 6: Final answer
    x = 8,202.82

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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.