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Finding the Fourth Proportional to 10,672.89, 16,011.71 and 3,278.10

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Solution

The fourth proportional to 10,672.89, 16,011.71 and 3,278.10 is: 4,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.89 : 16,011.71 = 3,278.10 : x
  2. Step 2: Convert to fraction form
    10,672.89/16,011.71 = 3,278.10/x
  3. Step 3: Cross multiply
    10,672.89x = 16,011.71 × 3,278.10
  4. Step 4: Simplify right side
    10,672.89x = 52,487,906.49
  5. Step 5: Solve for x
    x = 52,487,906.49/10,672.89
  6. Step 6: Final answer
    x = 4,917.87

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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.