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Finding the Fourth Proportional to 10,208.97, 14,087.97 and 5,732.94

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Solution

The fourth proportional to 10,208.97, 14,087.97 and 5,732.94 is: 7,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.97 : 14,087.97 = 5,732.94 : x
  2. Step 2: Convert to fraction form
    10,208.97/14,087.97 = 5,732.94/x
  3. Step 3: Cross multiply
    10,208.97x = 14,087.97 × 5,732.94
  4. Step 4: Simplify right side
    10,208.97x = 80,765,486.73
  5. Step 5: Solve for x
    x = 80,765,486.73/10,208.97
  6. Step 6: Final answer
    x = 7,911.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.