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Finding the Fourth Proportional to 7,713.81, 11,573.55 and 3,766.68

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Solution

The fourth proportional to 7,713.81, 11,573.55 and 3,766.68 is: 5,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.81 : 11,573.55 = 3,766.68 : x
  2. Step 2: Convert to fraction form
    7,713.81/11,573.55 = 3,766.68/x
  3. Step 3: Cross multiply
    7,713.81x = 11,573.55 × 3,766.68
  4. Step 4: Simplify right side
    7,713.81x = 43,593,859.31
  5. Step 5: Solve for x
    x = 43,593,859.31/7,713.81
  6. Step 6: Final answer
    x = 5,651.40

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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.