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Finding the Fourth Proportional to 8,227.55, 12,340.41 and 2,384.16

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Solution

The fourth proportional to 8,227.55, 12,340.41 and 2,384.16 is: 3,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.55 : 12,340.41 = 2,384.16 : x
  2. Step 2: Convert to fraction form
    8,227.55/12,340.41 = 2,384.16/x
  3. Step 3: Cross multiply
    8,227.55x = 12,340.41 × 2,384.16
  4. Step 4: Simplify right side
    8,227.55x = 29,421,511.91
  5. Step 5: Solve for x
    x = 29,421,511.91/8,227.55
  6. Step 6: Final answer
    x = 3,575.97

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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.