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Finding the Fourth Proportional to 7,960.76, 10,982.56 and 5,438.80

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Solution

The fourth proportional to 7,960.76, 10,982.56 and 5,438.80 is: 7,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.76 : 10,982.56 = 5,438.80 : x
  2. Step 2: Convert to fraction form
    7,960.76/10,982.56 = 5,438.80/x
  3. Step 3: Cross multiply
    7,960.76x = 10,982.56 × 5,438.80
  4. Step 4: Simplify right side
    7,960.76x = 59,731,947.33
  5. Step 5: Solve for x
    x = 59,731,947.33/7,960.76
  6. Step 6: Final answer
    x = 7,503.30

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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.