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Finding the Fourth Proportional to 7,912.70, 10,920.05 and 4,555.46

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Solution

The fourth proportional to 7,912.70, 10,920.05 and 4,555.46 is: 6,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.70 : 10,920.05 = 4,555.46 : x
  2. Step 2: Convert to fraction form
    7,912.70/10,920.05 = 4,555.46/x
  3. Step 3: Cross multiply
    7,912.70x = 10,920.05 × 4,555.46
  4. Step 4: Simplify right side
    7,912.70x = 49,745,811.15
  5. Step 5: Solve for x
    x = 49,745,811.15/7,912.70
  6. Step 6: Final answer
    x = 6,286.83

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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.