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Finding the Fourth Proportional to 7,544.87, 10,418.13 and 4,896.80

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Solution

The fourth proportional to 7,544.87, 10,418.13 and 4,896.80 is: 6,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.87 : 10,418.13 = 4,896.80 : x
  2. Step 2: Convert to fraction form
    7,544.87/10,418.13 = 4,896.80/x
  3. Step 3: Cross multiply
    7,544.87x = 10,418.13 × 4,896.80
  4. Step 4: Simplify right side
    7,544.87x = 51,015,446.89
  5. Step 5: Solve for x
    x = 51,015,446.89/7,544.87
  6. Step 6: Final answer
    x = 6,761.61

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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.