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Finding the Fourth Proportional to 7,687.98, 11,534.40 and 2,757.50

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Solution

The fourth proportional to 7,687.98, 11,534.40 and 2,757.50 is: 4,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.98 : 11,534.40 = 2,757.50 : x
  2. Step 2: Convert to fraction form
    7,687.98/11,534.40 = 2,757.50/x
  3. Step 3: Cross multiply
    7,687.98x = 11,534.40 × 2,757.50
  4. Step 4: Simplify right side
    7,687.98x = 31,806,108
  5. Step 5: Solve for x
    x = 31,806,108/7,687.98
  6. Step 6: Final answer
    x = 4,137.12

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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.