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Finding the Fourth Proportional to 8,218.40, 12,321.72 and 3,833.46

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Solution

The fourth proportional to 8,218.40, 12,321.72 and 3,833.46 is: 5,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.40 : 12,321.72 = 3,833.46 : x
  2. Step 2: Convert to fraction form
    8,218.40/12,321.72 = 3,833.46/x
  3. Step 3: Cross multiply
    8,218.40x = 12,321.72 × 3,833.46
  4. Step 4: Simplify right side
    8,218.40x = 47,234,820.75
  5. Step 5: Solve for x
    x = 47,234,820.75/8,218.40
  6. Step 6: Final answer
    x = 5,747.45

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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.