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Finding the Fourth Proportional to 8,098.95, 12,149.58 and 2,552.73

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Solution

The fourth proportional to 8,098.95, 12,149.58 and 2,552.73 is: 3,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.95 : 12,149.58 = 2,552.73 : x
  2. Step 2: Convert to fraction form
    8,098.95/12,149.58 = 2,552.73/x
  3. Step 3: Cross multiply
    8,098.95x = 12,149.58 × 2,552.73
  4. Step 4: Simplify right side
    8,098.95x = 31,014,597.35
  5. Step 5: Solve for x
    x = 31,014,597.35/8,098.95
  6. Step 6: Final answer
    x = 3,829.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.