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Finding the Fourth Proportional to 8,374.30, 12,561.45 and 8,082.70

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Solution

The fourth proportional to 8,374.30, 12,561.45 and 8,082.70 is: 12,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.30 : 12,561.45 = 8,082.70 : x
  2. Step 2: Convert to fraction form
    8,374.30/12,561.45 = 8,082.70/x
  3. Step 3: Cross multiply
    8,374.30x = 12,561.45 × 8,082.70
  4. Step 4: Simplify right side
    8,374.30x = 101,530,431.92
  5. Step 5: Solve for x
    x = 101,530,431.92/8,374.30
  6. Step 6: Final answer
    x = 12,124.05

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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.