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Finding the Fourth Proportional to 8,230.12, 12,343.68 and 3,298.36

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Solution

The fourth proportional to 8,230.12, 12,343.68 and 3,298.36 is: 4,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.12 : 12,343.68 = 3,298.36 : x
  2. Step 2: Convert to fraction form
    8,230.12/12,343.68 = 3,298.36/x
  3. Step 3: Cross multiply
    8,230.12x = 12,343.68 × 3,298.36
  4. Step 4: Simplify right side
    8,230.12x = 40,713,900.36
  5. Step 5: Solve for x
    x = 40,713,900.36/8,230.12
  6. Step 6: Final answer
    x = 4,946.94

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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.