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Finding the Fourth Proportional to 8,113.62, 11,197.14 and 4,576.83

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Solution

The fourth proportional to 8,113.62, 11,197.14 and 4,576.83 is: 6,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.62 : 11,197.14 = 4,576.83 : x
  2. Step 2: Convert to fraction form
    8,113.62/11,197.14 = 4,576.83/x
  3. Step 3: Cross multiply
    8,113.62x = 11,197.14 × 4,576.83
  4. Step 4: Simplify right side
    8,113.62x = 51,247,383.38
  5. Step 5: Solve for x
    x = 51,247,383.38/8,113.62
  6. Step 6: Final answer
    x = 6,316.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.