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Finding the Fourth Proportional to 7,144.88, 10,717.36 and 2,761.20

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Solution

The fourth proportional to 7,144.88, 10,717.36 and 2,761.20 is: 4,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.88 : 10,717.36 = 2,761.20 : x
  2. Step 2: Convert to fraction form
    7,144.88/10,717.36 = 2,761.20/x
  3. Step 3: Cross multiply
    7,144.88x = 10,717.36 × 2,761.20
  4. Step 4: Simplify right side
    7,144.88x = 29,592,774.43
  5. Step 5: Solve for x
    x = 29,592,774.43/7,144.88
  6. Step 6: Final answer
    x = 4,141.82

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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.