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Finding the Fourth Proportional to 8,384.09, 12,576.14 and 2,143.89

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Solution

The fourth proportional to 8,384.09, 12,576.14 and 2,143.89 is: 3,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.09 : 12,576.14 = 2,143.89 : x
  2. Step 2: Convert to fraction form
    8,384.09/12,576.14 = 2,143.89/x
  3. Step 3: Cross multiply
    8,384.09x = 12,576.14 × 2,143.89
  4. Step 4: Simplify right side
    8,384.09x = 26,961,860.78
  5. Step 5: Solve for x
    x = 26,961,860.78/8,384.09
  6. Step 6: Final answer
    x = 3,215.84

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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.