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Finding the Fourth Proportional to 7,573.92, 11,361.87 and 2,644.98

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Solution

The fourth proportional to 7,573.92, 11,361.87 and 2,644.98 is: 3,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.92 : 11,361.87 = 2,644.98 : x
  2. Step 2: Convert to fraction form
    7,573.92/11,361.87 = 2,644.98/x
  3. Step 3: Cross multiply
    7,573.92x = 11,361.87 × 2,644.98
  4. Step 4: Simplify right side
    7,573.92x = 30,051,918.91
  5. Step 5: Solve for x
    x = 30,051,918.91/7,573.92
  6. Step 6: Final answer
    x = 3,967.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.