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Finding the Fourth Proportional to 8,576, 12,865.01 and 3,028.17

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Solution

The fourth proportional to 8,576, 12,865.01 and 3,028.17 is: 4,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 12,865.01 = 3,028.17 : x
  2. Step 2: Convert to fraction form
    8,576/12,865.01 = 3,028.17/x
  3. Step 3: Cross multiply
    8,576x = 12,865.01 × 3,028.17
  4. Step 4: Simplify right side
    8,576x = 38,957,437.33
  5. Step 5: Solve for x
    x = 38,957,437.33/8,576
  6. Step 6: Final answer
    x = 4,542.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.