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Finding the Fourth Proportional to 8,234.24, 12,352.20 and 3,303.20

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Solution

The fourth proportional to 8,234.24, 12,352.20 and 3,303.20 is: 4,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.24 : 12,352.20 = 3,303.20 : x
  2. Step 2: Convert to fraction form
    8,234.24/12,352.20 = 3,303.20/x
  3. Step 3: Cross multiply
    8,234.24x = 12,352.20 × 3,303.20
  4. Step 4: Simplify right side
    8,234.24x = 40,801,787.04
  5. Step 5: Solve for x
    x = 40,801,787.04/8,234.24
  6. Step 6: Final answer
    x = 4,955.14

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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.