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Finding the Fourth Proportional to 8,172.83, 12,251.86 and 2,977.49

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Solution

The fourth proportional to 8,172.83, 12,251.86 and 2,977.49 is: 4,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.83 : 12,251.86 = 2,977.49 : x
  2. Step 2: Convert to fraction form
    8,172.83/12,251.86 = 2,977.49/x
  3. Step 3: Cross multiply
    8,172.83x = 12,251.86 × 2,977.49
  4. Step 4: Simplify right side
    8,172.83x = 36,479,813.82
  5. Step 5: Solve for x
    x = 36,479,813.82/8,172.83
  6. Step 6: Final answer
    x = 4,463.55

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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.