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Finding the Fourth Proportional to 8,257.14, 12,384.09 and 2,412.38

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Solution

The fourth proportional to 8,257.14, 12,384.09 and 2,412.38 is: 3,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.14 : 12,384.09 = 2,412.38 : x
  2. Step 2: Convert to fraction form
    8,257.14/12,384.09 = 2,412.38/x
  3. Step 3: Cross multiply
    8,257.14x = 12,384.09 × 2,412.38
  4. Step 4: Simplify right side
    8,257.14x = 29,875,161.99
  5. Step 5: Solve for x
    x = 29,875,161.99/8,257.14
  6. Step 6: Final answer
    x = 3,618.10

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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.