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Finding the Fourth Proportional to 6,744.29, 10,114.82 and 3,455.69

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Solution

The fourth proportional to 6,744.29, 10,114.82 and 3,455.69 is: 5,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.29 : 10,114.82 = 3,455.69 : x
  2. Step 2: Convert to fraction form
    6,744.29/10,114.82 = 3,455.69/x
  3. Step 3: Cross multiply
    6,744.29x = 10,114.82 × 3,455.69
  4. Step 4: Simplify right side
    6,744.29x = 34,953,682.33
  5. Step 5: Solve for x
    x = 34,953,682.33/6,744.29
  6. Step 6: Final answer
    x = 5,182.71

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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.