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Finding the Fourth Proportional to 8,177.65, 12,266.19 and 2,631.37

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Solution

The fourth proportional to 8,177.65, 12,266.19 and 2,631.37 is: 3,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.65 : 12,266.19 = 2,631.37 : x
  2. Step 2: Convert to fraction form
    8,177.65/12,266.19 = 2,631.37/x
  3. Step 3: Cross multiply
    8,177.65x = 12,266.19 × 2,631.37
  4. Step 4: Simplify right side
    8,177.65x = 32,276,884.38
  5. Step 5: Solve for x
    x = 32,276,884.38/8,177.65
  6. Step 6: Final answer
    x = 3,946.96

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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.