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Finding the Fourth Proportional to 10,450.79, 15,676.71 and 3,427.97

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Solution

The fourth proportional to 10,450.79, 15,676.71 and 3,427.97 is: 5,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.79 : 15,676.71 = 3,427.97 : x
  2. Step 2: Convert to fraction form
    10,450.79/15,676.71 = 3,427.97/x
  3. Step 3: Cross multiply
    10,450.79x = 15,676.71 × 3,427.97
  4. Step 4: Simplify right side
    10,450.79x = 53,739,221.77
  5. Step 5: Solve for x
    x = 53,739,221.77/10,450.79
  6. Step 6: Final answer
    x = 5,142.12

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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.