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Finding the Fourth Proportional to 7,960.32, 10,982.40 and 5,472

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Solution

The fourth proportional to 7,960.32, 10,982.40 and 5,472 is: 7,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.32 : 10,982.40 = 5,472 : x
  2. Step 2: Convert to fraction form
    7,960.32/10,982.40 = 5,472/x
  3. Step 3: Cross multiply
    7,960.32x = 10,982.40 × 5,472
  4. Step 4: Simplify right side
    7,960.32x = 60,095,692.80
  5. Step 5: Solve for x
    x = 60,095,692.80/7,960.32
  6. Step 6: Final answer
    x = 7,549.41

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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.