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Finding the Fourth Proportional to 8,354.21, 12,533.20 and 2,732.16

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Solution

The fourth proportional to 8,354.21, 12,533.20 and 2,732.16 is: 4,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.21 : 12,533.20 = 2,732.16 : x
  2. Step 2: Convert to fraction form
    8,354.21/12,533.20 = 2,732.16/x
  3. Step 3: Cross multiply
    8,354.21x = 12,533.20 × 2,732.16
  4. Step 4: Simplify right side
    8,354.21x = 34,242,747.88
  5. Step 5: Solve for x
    x = 34,242,747.88/8,354.21
  6. Step 6: Final answer
    x = 4,098.86

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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.