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Finding the Fourth Proportional to 7,800.45, 10,766.82 and 4,614.85

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Solution

The fourth proportional to 7,800.45, 10,766.82 and 4,614.85 is: 6,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.45 : 10,766.82 = 4,614.85 : x
  2. Step 2: Convert to fraction form
    7,800.45/10,766.82 = 4,614.85/x
  3. Step 3: Cross multiply
    7,800.45x = 10,766.82 × 4,614.85
  4. Step 4: Simplify right side
    7,800.45x = 49,687,259.28
  5. Step 5: Solve for x
    x = 49,687,259.28/7,800.45
  6. Step 6: Final answer
    x = 6,369.79

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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.