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Finding the Fourth Proportional to 7,713.57, 11,567.56 and 2,781.88

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Solution

The fourth proportional to 7,713.57, 11,567.56 and 2,781.88 is: 4,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.57 : 11,567.56 = 2,781.88 : x
  2. Step 2: Convert to fraction form
    7,713.57/11,567.56 = 2,781.88/x
  3. Step 3: Cross multiply
    7,713.57x = 11,567.56 × 2,781.88
  4. Step 4: Simplify right side
    7,713.57x = 32,179,556.86
  5. Step 5: Solve for x
    x = 32,179,556.86/7,713.57
  6. Step 6: Final answer
    x = 4,171.81

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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.