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Finding the Fourth Proportional to 8,022.50, 12,023.72 and 3,861.40

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Solution

The fourth proportional to 8,022.50, 12,023.72 and 3,861.40 is: 5,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.50 : 12,023.72 = 3,861.40 : x
  2. Step 2: Convert to fraction form
    8,022.50/12,023.72 = 3,861.40/x
  3. Step 3: Cross multiply
    8,022.50x = 12,023.72 × 3,861.40
  4. Step 4: Simplify right side
    8,022.50x = 46,428,343.04
  5. Step 5: Solve for x
    x = 46,428,343.04/8,022.50
  6. Step 6: Final answer
    x = 5,787.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.