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Finding the Fourth Proportional to 11,847.63, 17,772.47 and 3,082.55

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Solution

The fourth proportional to 11,847.63, 17,772.47 and 3,082.55 is: 4,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.63 : 17,772.47 = 3,082.55 : x
  2. Step 2: Convert to fraction form
    11,847.63/17,772.47 = 3,082.55/x
  3. Step 3: Cross multiply
    11,847.63x = 17,772.47 × 3,082.55
  4. Step 4: Simplify right side
    11,847.63x = 54,784,446.24
  5. Step 5: Solve for x
    x = 54,784,446.24/11,847.63
  6. Step 6: Final answer
    x = 4,624.08

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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.