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Finding the Fourth Proportional to 8,253.77, 12,380.67 and 2,013.80

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Solution

The fourth proportional to 8,253.77, 12,380.67 and 2,013.80 is: 3,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.77 : 12,380.67 = 2,013.80 : x
  2. Step 2: Convert to fraction form
    8,253.77/12,380.67 = 2,013.80/x
  3. Step 3: Cross multiply
    8,253.77x = 12,380.67 × 2,013.80
  4. Step 4: Simplify right side
    8,253.77x = 24,932,131.34
  5. Step 5: Solve for x
    x = 24,932,131.34/8,253.77
  6. Step 6: Final answer
    x = 3,020.70

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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.