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Finding the Fourth Proportional to 7,667.46, 10,576.98 and 5,149.44

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Solution

The fourth proportional to 7,667.46, 10,576.98 and 5,149.44 is: 7,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.46 : 10,576.98 = 5,149.44 : x
  2. Step 2: Convert to fraction form
    7,667.46/10,576.98 = 5,149.44/x
  3. Step 3: Cross multiply
    7,667.46x = 10,576.98 × 5,149.44
  4. Step 4: Simplify right side
    7,667.46x = 54,465,523.89
  5. Step 5: Solve for x
    x = 54,465,523.89/7,667.46
  6. Step 6: Final answer
    x = 7,103.46

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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.