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Finding the Fourth Proportional to 7,517.96, 11,262.36 and 5,540

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Solution

The fourth proportional to 7,517.96, 11,262.36 and 5,540 is: 8,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.96 : 11,262.36 = 5,540 : x
  2. Step 2: Convert to fraction form
    7,517.96/11,262.36 = 5,540/x
  3. Step 3: Cross multiply
    7,517.96x = 11,262.36 × 5,540
  4. Step 4: Simplify right side
    7,517.96x = 62,393,474.40
  5. Step 5: Solve for x
    x = 62,393,474.40/7,517.96
  6. Step 6: Final answer
    x = 8,299.26

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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.