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Finding the Fourth Proportional to 8,098.74, 12,148.23 and 2,833.56

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Solution

The fourth proportional to 8,098.74, 12,148.23 and 2,833.56 is: 4,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.74 : 12,148.23 = 2,833.56 : x
  2. Step 2: Convert to fraction form
    8,098.74/12,148.23 = 2,833.56/x
  3. Step 3: Cross multiply
    8,098.74x = 12,148.23 × 2,833.56
  4. Step 4: Simplify right side
    8,098.74x = 34,422,738.60
  5. Step 5: Solve for x
    x = 34,422,738.60/8,098.74
  6. Step 6: Final answer
    x = 4,250.38

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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.