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Finding the Fourth Proportional to 7,713.66, 11,570.49 and 2,449.23

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Solution

The fourth proportional to 7,713.66, 11,570.49 and 2,449.23 is: 3,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.66 : 11,570.49 = 2,449.23 : x
  2. Step 2: Convert to fraction form
    7,713.66/11,570.49 = 2,449.23/x
  3. Step 3: Cross multiply
    7,713.66x = 11,570.49 × 2,449.23
  4. Step 4: Simplify right side
    7,713.66x = 28,338,797.35
  5. Step 5: Solve for x
    x = 28,338,797.35/7,713.66
  6. Step 6: Final answer
    x = 3,673.85

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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.