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Finding the Fourth Proportional to 10,676.49, 16,012.71 and 3,278.90

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Solution

The fourth proportional to 10,676.49, 16,012.71 and 3,278.90 is: 4,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.49 : 16,012.71 = 3,278.90 : x
  2. Step 2: Convert to fraction form
    10,676.49/16,012.71 = 3,278.90/x
  3. Step 3: Cross multiply
    10,676.49x = 16,012.71 × 3,278.90
  4. Step 4: Simplify right side
    10,676.49x = 52,503,994.76
  5. Step 5: Solve for x
    x = 52,503,994.76/10,676.49
  6. Step 6: Final answer
    x = 4,917.72

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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.