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Finding the Fourth Proportional to 28,644.20, 42,961.32 and 7,584.36

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Solution

The fourth proportional to 28,644.20, 42,961.32 and 7,584.36 is: 11,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644.20 : 42,961.32 = 7,584.36 : x
  2. Step 2: Convert to fraction form
    28,644.20/42,961.32 = 7,584.36/x
  3. Step 3: Cross multiply
    28,644.20x = 42,961.32 × 7,584.36
  4. Step 4: Simplify right side
    28,644.20x = 325,834,116.96
  5. Step 5: Solve for x
    x = 325,834,116.96/28,644.20
  6. Step 6: Final answer
    x = 11,375.22

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