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Finding the Fourth Proportional to 8,026.32, 12,040.02 and 3,096

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Solution

The fourth proportional to 8,026.32, 12,040.02 and 3,096 is: 4,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.32 : 12,040.02 = 3,096 : x
  2. Step 2: Convert to fraction form
    8,026.32/12,040.02 = 3,096/x
  3. Step 3: Cross multiply
    8,026.32x = 12,040.02 × 3,096
  4. Step 4: Simplify right side
    8,026.32x = 37,275,901.92
  5. Step 5: Solve for x
    x = 37,275,901.92/8,026.32
  6. Step 6: Final answer
    x = 4,644.21

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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.