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Finding the Fourth Proportional to 8,120.66, 12,185.85 and 3,503.66

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Solution

The fourth proportional to 8,120.66, 12,185.85 and 3,503.66 is: 5,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.66 : 12,185.85 = 3,503.66 : x
  2. Step 2: Convert to fraction form
    8,120.66/12,185.85 = 3,503.66/x
  3. Step 3: Cross multiply
    8,120.66x = 12,185.85 × 3,503.66
  4. Step 4: Simplify right side
    8,120.66x = 42,695,082.83
  5. Step 5: Solve for x
    x = 42,695,082.83/8,120.66
  6. Step 6: Final answer
    x = 5,257.59

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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.