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Finding the Fourth Proportional to 8,234.28, 12,359.63 and 4,538.25

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Solution

The fourth proportional to 8,234.28, 12,359.63 and 4,538.25 is: 6,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.28 : 12,359.63 = 4,538.25 : x
  2. Step 2: Convert to fraction form
    8,234.28/12,359.63 = 4,538.25/x
  3. Step 3: Cross multiply
    8,234.28x = 12,359.63 × 4,538.25
  4. Step 4: Simplify right side
    8,234.28x = 56,091,105.05
  5. Step 5: Solve for x
    x = 56,091,105.05/8,234.28
  6. Step 6: Final answer
    x = 6,811.90

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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.