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Finding the Fourth Proportional to 8,098.74, 12,149.28 and 2,552.58

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Solution

The fourth proportional to 8,098.74, 12,149.28 and 2,552.58 is: 3,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.74 : 12,149.28 = 2,552.58 : x
  2. Step 2: Convert to fraction form
    8,098.74/12,149.28 = 2,552.58/x
  3. Step 3: Cross multiply
    8,098.74x = 12,149.28 × 2,552.58
  4. Step 4: Simplify right side
    8,098.74x = 31,012,009.14
  5. Step 5: Solve for x
    x = 31,012,009.14/8,098.74
  6. Step 6: Final answer
    x = 3,829.24

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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.