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Finding the Fourth Proportional to 8,211.77, 12,319.44 and 2,665.67

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Solution

The fourth proportional to 8,211.77, 12,319.44 and 2,665.67 is: 3,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.77 : 12,319.44 = 2,665.67 : x
  2. Step 2: Convert to fraction form
    8,211.77/12,319.44 = 2,665.67/x
  3. Step 3: Cross multiply
    8,211.77x = 12,319.44 × 2,665.67
  4. Step 4: Simplify right side
    8,211.77x = 32,839,500.03
  5. Step 5: Solve for x
    x = 32,839,500.03/8,211.77
  6. Step 6: Final answer
    x = 3,999.08

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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.