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Finding the Fourth Proportional to 8,082.30, 12,115.35 and 3,702.90

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Solution

The fourth proportional to 8,082.30, 12,115.35 and 3,702.90 is: 5,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.30 : 12,115.35 = 3,702.90 : x
  2. Step 2: Convert to fraction form
    8,082.30/12,115.35 = 3,702.90/x
  3. Step 3: Cross multiply
    8,082.30x = 12,115.35 × 3,702.90
  4. Step 4: Simplify right side
    8,082.30x = 44,861,929.52
  5. Step 5: Solve for x
    x = 44,861,929.52/8,082.30
  6. Step 6: Final answer
    x = 5,550.64

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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.