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Finding the Fourth Proportional to 7,712.97, 11,567.43 and 2,781.69

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Solution

The fourth proportional to 7,712.97, 11,567.43 and 2,781.69 is: 4,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.97 : 11,567.43 = 2,781.69 : x
  2. Step 2: Convert to fraction form
    7,712.97/11,567.43 = 2,781.69/x
  3. Step 3: Cross multiply
    7,712.97x = 11,567.43 × 2,781.69
  4. Step 4: Simplify right side
    7,712.97x = 32,177,004.36
  5. Step 5: Solve for x
    x = 32,177,004.36/7,712.97
  6. Step 6: Final answer
    x = 4,171.80

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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.