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Finding the Fourth Proportional to 7,726.75, 11,591.56 and 2,730.56

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Solution

The fourth proportional to 7,726.75, 11,591.56 and 2,730.56 is: 4,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.75 : 11,591.56 = 2,730.56 : x
  2. Step 2: Convert to fraction form
    7,726.75/11,591.56 = 2,730.56/x
  3. Step 3: Cross multiply
    7,726.75x = 11,591.56 × 2,730.56
  4. Step 4: Simplify right side
    7,726.75x = 31,651,445.37
  5. Step 5: Solve for x
    x = 31,651,445.37/7,726.75
  6. Step 6: Final answer
    x = 4,096.34

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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.