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Finding the Fourth Proportional to 7,451.82, 10,286.76 and 4,766.55

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Solution

The fourth proportional to 7,451.82, 10,286.76 and 4,766.55 is: 6,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.82 : 10,286.76 = 4,766.55 : x
  2. Step 2: Convert to fraction form
    7,451.82/10,286.76 = 4,766.55/x
  3. Step 3: Cross multiply
    7,451.82x = 10,286.76 × 4,766.55
  4. Step 4: Simplify right side
    7,451.82x = 49,032,355.88
  5. Step 5: Solve for x
    x = 49,032,355.88/7,451.82
  6. Step 6: Final answer
    x = 6,579.92

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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.