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Finding the Fourth Proportional to 8,295.08, 12,446.94 and 3,677

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Solution

The fourth proportional to 8,295.08, 12,446.94 and 3,677 is: 5,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.08 : 12,446.94 = 3,677 : x
  2. Step 2: Convert to fraction form
    8,295.08/12,446.94 = 3,677/x
  3. Step 3: Cross multiply
    8,295.08x = 12,446.94 × 3,677
  4. Step 4: Simplify right side
    8,295.08x = 45,767,398.38
  5. Step 5: Solve for x
    x = 45,767,398.38/8,295.08
  6. Step 6: Final answer
    x = 5,517.41

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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.