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Finding the Fourth Proportional to 10,363.68, 14,310.32 and 8,449.81

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Solution

The fourth proportional to 10,363.68, 14,310.32 and 8,449.81 is: 11,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.68 : 14,310.32 = 8,449.81 : x
  2. Step 2: Convert to fraction form
    10,363.68/14,310.32 = 8,449.81/x
  3. Step 3: Cross multiply
    10,363.68x = 14,310.32 × 8,449.81
  4. Step 4: Simplify right side
    10,363.68x = 120,919,407.01
  5. Step 5: Solve for x
    x = 120,919,407.01/10,363.68
  6. Step 6: Final answer
    x = 11,667.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.