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Finding the Fourth Proportional to 8,253.14, 12,380.13 and 2,409.80

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Solution

The fourth proportional to 8,253.14, 12,380.13 and 2,409.80 is: 3,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.14 : 12,380.13 = 2,409.80 : x
  2. Step 2: Convert to fraction form
    8,253.14/12,380.13 = 2,409.80/x
  3. Step 3: Cross multiply
    8,253.14x = 12,380.13 × 2,409.80
  4. Step 4: Simplify right side
    8,253.14x = 29,833,575.37
  5. Step 5: Solve for x
    x = 29,833,575.37/8,253.14
  6. Step 6: Final answer
    x = 3,614.82

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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.