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Finding the Fourth Proportional to 8,287.36, 12,430.96 and 3,902.42

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Solution

The fourth proportional to 8,287.36, 12,430.96 and 3,902.42 is: 5,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.36 : 12,430.96 = 3,902.42 : x
  2. Step 2: Convert to fraction form
    8,287.36/12,430.96 = 3,902.42/x
  3. Step 3: Cross multiply
    8,287.36x = 12,430.96 × 3,902.42
  4. Step 4: Simplify right side
    8,287.36x = 48,510,826.92
  5. Step 5: Solve for x
    x = 48,510,826.92/8,287.36
  6. Step 6: Final answer
    x = 5,853.59

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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.