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Finding the Fourth Proportional to 7,576.96, 11,366.16 and 3,195.76

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Solution

The fourth proportional to 7,576.96, 11,366.16 and 3,195.76 is: 4,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.96 : 11,366.16 = 3,195.76 : x
  2. Step 2: Convert to fraction form
    7,576.96/11,366.16 = 3,195.76/x
  3. Step 3: Cross multiply
    7,576.96x = 11,366.16 × 3,195.76
  4. Step 4: Simplify right side
    7,576.96x = 36,323,519.48
  5. Step 5: Solve for x
    x = 36,323,519.48/7,576.96
  6. Step 6: Final answer
    x = 4,793.94

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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.