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Finding the Fourth Proportional to 7,640.44, 10,543.54 and 4,496.80

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Solution

The fourth proportional to 7,640.44, 10,543.54 and 4,496.80 is: 6,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.44 : 10,543.54 = 4,496.80 : x
  2. Step 2: Convert to fraction form
    7,640.44/10,543.54 = 4,496.80/x
  3. Step 3: Cross multiply
    7,640.44x = 10,543.54 × 4,496.80
  4. Step 4: Simplify right side
    7,640.44x = 47,412,190.67
  5. Step 5: Solve for x
    x = 47,412,190.67/7,640.44
  6. Step 6: Final answer
    x = 6,205.43

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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.