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Finding the Fourth Proportional to 8,121.53, 12,184.07 and 2,499.23

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Solution

The fourth proportional to 8,121.53, 12,184.07 and 2,499.23 is: 3,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.53 : 12,184.07 = 2,499.23 : x
  2. Step 2: Convert to fraction form
    8,121.53/12,184.07 = 2,499.23/x
  3. Step 3: Cross multiply
    8,121.53x = 12,184.07 × 2,499.23
  4. Step 4: Simplify right side
    8,121.53x = 30,450,719.85
  5. Step 5: Solve for x
    x = 30,450,719.85/8,121.53
  6. Step 6: Final answer
    x = 3,749.38

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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.