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Finding the Fourth Proportional to 8,234.94, 12,352.83 and 2,392.02

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Solution

The fourth proportional to 8,234.94, 12,352.83 and 2,392.02 is: 3,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.94 : 12,352.83 = 2,392.02 : x
  2. Step 2: Convert to fraction form
    8,234.94/12,352.83 = 2,392.02/x
  3. Step 3: Cross multiply
    8,234.94x = 12,352.83 × 2,392.02
  4. Step 4: Simplify right side
    8,234.94x = 29,548,216.42
  5. Step 5: Solve for x
    x = 29,548,216.42/8,234.94
  6. Step 6: Final answer
    x = 3,588.15

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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.