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Finding the Fourth Proportional to 8,134.34, 12,201.46 and 2,868.12

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Solution

The fourth proportional to 8,134.34, 12,201.46 and 2,868.12 is: 4,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.34 : 12,201.46 = 2,868.12 : x
  2. Step 2: Convert to fraction form
    8,134.34/12,201.46 = 2,868.12/x
  3. Step 3: Cross multiply
    8,134.34x = 12,201.46 × 2,868.12
  4. Step 4: Simplify right side
    8,134.34x = 34,995,244.28
  5. Step 5: Solve for x
    x = 34,995,244.28/8,134.34
  6. Step 6: Final answer
    x = 4,302.16

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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.