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Finding the Fourth Proportional to 8,054.85, 12,082.58 and 2,211.92

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Solution

The fourth proportional to 8,054.85, 12,082.58 and 2,211.92 is: 3,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054.85 : 12,082.58 = 2,211.92 : x
  2. Step 2: Convert to fraction form
    8,054.85/12,082.58 = 2,211.92/x
  3. Step 3: Cross multiply
    8,054.85x = 12,082.58 × 2,211.92
  4. Step 4: Simplify right side
    8,054.85x = 26,725,645.47
  5. Step 5: Solve for x
    x = 26,725,645.47/8,054.85
  6. Step 6: Final answer
    x = 3,317.96

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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.