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Finding the Fourth Proportional to 8,177.82, 12,266.49 and 2,631.12

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Solution

The fourth proportional to 8,177.82, 12,266.49 and 2,631.12 is: 3,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.82 : 12,266.49 = 2,631.12 : x
  2. Step 2: Convert to fraction form
    8,177.82/12,266.49 = 2,631.12/x
  3. Step 3: Cross multiply
    8,177.82x = 12,266.49 × 2,631.12
  4. Step 4: Simplify right side
    8,177.82x = 32,274,607.17
  5. Step 5: Solve for x
    x = 32,274,607.17/8,177.82
  6. Step 6: Final answer
    x = 3,946.60

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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.