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Finding the Fourth Proportional to 8,158.52, 12,238.02 and 5,402.84

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Solution

The fourth proportional to 8,158.52, 12,238.02 and 5,402.84 is: 8,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.52 : 12,238.02 = 5,402.84 : x
  2. Step 2: Convert to fraction form
    8,158.52/12,238.02 = 5,402.84/x
  3. Step 3: Cross multiply
    8,158.52x = 12,238.02 × 5,402.84
  4. Step 4: Simplify right side
    8,158.52x = 66,120,063.98
  5. Step 5: Solve for x
    x = 66,120,063.98/8,158.52
  6. Step 6: Final answer
    x = 8,104.42

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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.