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Finding the Fourth Proportional to 8,238.20, 12,357.29 and 2,394.86

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Solution

The fourth proportional to 8,238.20, 12,357.29 and 2,394.86 is: 3,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.20 : 12,357.29 = 2,394.86 : x
  2. Step 2: Convert to fraction form
    8,238.20/12,357.29 = 2,394.86/x
  3. Step 3: Cross multiply
    8,238.20x = 12,357.29 × 2,394.86
  4. Step 4: Simplify right side
    8,238.20x = 29,593,905.77
  5. Step 5: Solve for x
    x = 29,593,905.77/8,238.20
  6. Step 6: Final answer
    x = 3,592.28

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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.