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Finding the Fourth Proportional to 8,384.16, 12,576.24 and 3,193.68

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Solution

The fourth proportional to 8,384.16, 12,576.24 and 3,193.68 is: 4,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.16 : 12,576.24 = 3,193.68 : x
  2. Step 2: Convert to fraction form
    8,384.16/12,576.24 = 3,193.68/x
  3. Step 3: Cross multiply
    8,384.16x = 12,576.24 × 3,193.68
  4. Step 4: Simplify right side
    8,384.16x = 40,164,486.16
  5. Step 5: Solve for x
    x = 40,164,486.16/8,384.16
  6. Step 6: Final answer
    x = 4,790.52

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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.