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Finding the Fourth Proportional to 8,084.97, 12,123.18 and 2,536.83

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Solution

The fourth proportional to 8,084.97, 12,123.18 and 2,536.83 is: 3,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.97 : 12,123.18 = 2,536.83 : x
  2. Step 2: Convert to fraction form
    8,084.97/12,123.18 = 2,536.83/x
  3. Step 3: Cross multiply
    8,084.97x = 12,123.18 × 2,536.83
  4. Step 4: Simplify right side
    8,084.97x = 30,754,446.72
  5. Step 5: Solve for x
    x = 30,754,446.72/8,084.97
  6. Step 6: Final answer
    x = 3,803.90

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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.