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Finding the Fourth Proportional to 8,424.36, 12,638.40 and 3,230.24

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Solution

The fourth proportional to 8,424.36, 12,638.40 and 3,230.24 is: 4,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.36 : 12,638.40 = 3,230.24 : x
  2. Step 2: Convert to fraction form
    8,424.36/12,638.40 = 3,230.24/x
  3. Step 3: Cross multiply
    8,424.36x = 12,638.40 × 3,230.24
  4. Step 4: Simplify right side
    8,424.36x = 40,825,065.22
  5. Step 5: Solve for x
    x = 40,825,065.22/8,424.36
  6. Step 6: Final answer
    x = 4,846.07

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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.