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Finding the Fourth Proportional to 7,713.76, 11,571.04 and 2,449.18

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Solution

The fourth proportional to 7,713.76, 11,571.04 and 2,449.18 is: 3,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.76 : 11,571.04 = 2,449.18 : x
  2. Step 2: Convert to fraction form
    7,713.76/11,571.04 = 2,449.18/x
  3. Step 3: Cross multiply
    7,713.76x = 11,571.04 × 2,449.18
  4. Step 4: Simplify right side
    7,713.76x = 28,339,551.62
  5. Step 5: Solve for x
    x = 28,339,551.62/7,713.76
  6. Step 6: Final answer
    x = 3,673.90

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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.