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Finding the Fourth Proportional to 8,097.46, 12,149.12 and 2,833.25

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Solution

The fourth proportional to 8,097.46, 12,149.12 and 2,833.25 is: 4,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.46 : 12,149.12 = 2,833.25 : x
  2. Step 2: Convert to fraction form
    8,097.46/12,149.12 = 2,833.25/x
  3. Step 3: Cross multiply
    8,097.46x = 12,149.12 × 2,833.25
  4. Step 4: Simplify right side
    8,097.46x = 34,421,440.58
  5. Step 5: Solve for x
    x = 34,421,440.58/8,097.46
  6. Step 6: Final answer
    x = 4,250.89

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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.