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Finding the Fourth Proportional to 10,874.55, 16,311.30 and 3,854.43

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Solution

The fourth proportional to 10,874.55, 16,311.30 and 3,854.43 is: 5,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.55 : 16,311.30 = 3,854.43 : x
  2. Step 2: Convert to fraction form
    10,874.55/16,311.30 = 3,854.43/x
  3. Step 3: Cross multiply
    10,874.55x = 16,311.30 × 3,854.43
  4. Step 4: Simplify right side
    10,874.55x = 62,870,764.06
  5. Step 5: Solve for x
    x = 62,870,764.06/10,874.55
  6. Step 6: Final answer
    x = 5,781.46

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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.