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Finding the Fourth Proportional to 12,082.03, 16,675.20 and 6,778.55

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Solution

The fourth proportional to 12,082.03, 16,675.20 and 6,778.55 is: 9,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.03 : 16,675.20 = 6,778.55 : x
  2. Step 2: Convert to fraction form
    12,082.03/16,675.20 = 6,778.55/x
  3. Step 3: Cross multiply
    12,082.03x = 16,675.20 × 6,778.55
  4. Step 4: Simplify right side
    12,082.03x = 113,033,718.65
  5. Step 5: Solve for x
    x = 113,033,718.65/12,082.03
  6. Step 6: Final answer
    x = 9,355.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.