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Finding the Fourth Proportional to 8,213.63, 12,317.54 and 3,281.94

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Solution

The fourth proportional to 8,213.63, 12,317.54 and 3,281.94 is: 4,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.63 : 12,317.54 = 3,281.94 : x
  2. Step 2: Convert to fraction form
    8,213.63/12,317.54 = 3,281.94/x
  3. Step 3: Cross multiply
    8,213.63x = 12,317.54 × 3,281.94
  4. Step 4: Simplify right side
    8,213.63x = 40,425,410.82
  5. Step 5: Solve for x
    x = 40,425,410.82/8,213.63
  6. Step 6: Final answer
    x = 4,921.75

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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.