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Finding the Fourth Proportional to 8,177.63, 12,266.64 and 2,983.50

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Solution

The fourth proportional to 8,177.63, 12,266.64 and 2,983.50 is: 4,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.63 : 12,266.64 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    8,177.63/12,266.64 = 2,983.50/x
  3. Step 3: Cross multiply
    8,177.63x = 12,266.64 × 2,983.50
  4. Step 4: Simplify right side
    8,177.63x = 36,597,520.44
  5. Step 5: Solve for x
    x = 36,597,520.44/8,177.63
  6. Step 6: Final answer
    x = 4,475.32

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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.