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Finding the Fourth Proportional to 8,443, 12,664.68 and 2,896.32

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Solution

The fourth proportional to 8,443, 12,664.68 and 2,896.32 is: 4,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443 : 12,664.68 = 2,896.32 : x
  2. Step 2: Convert to fraction form
    8,443/12,664.68 = 2,896.32/x
  3. Step 3: Cross multiply
    8,443x = 12,664.68 × 2,896.32
  4. Step 4: Simplify right side
    8,443x = 36,680,965.98
  5. Step 5: Solve for x
    x = 36,680,965.98/8,443
  6. Step 6: Final answer
    x = 4,344.54

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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.