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Finding the Fourth Proportional to 8,137.95, 12,202.58 and 3,859.17

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Solution

The fourth proportional to 8,137.95, 12,202.58 and 3,859.17 is: 5,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.95 : 12,202.58 = 3,859.17 : x
  2. Step 2: Convert to fraction form
    8,137.95/12,202.58 = 3,859.17/x
  3. Step 3: Cross multiply
    8,137.95x = 12,202.58 × 3,859.17
  4. Step 4: Simplify right side
    8,137.95x = 47,091,750.35
  5. Step 5: Solve for x
    x = 47,091,750.35/8,137.95
  6. Step 6: Final answer
    x = 5,786.69

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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.