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Finding the Fourth Proportional to 10,287.69, 14,197.03 and 5,571.97

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Solution

The fourth proportional to 10,287.69, 14,197.03 and 5,571.97 is: 7,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.69 : 14,197.03 = 5,571.97 : x
  2. Step 2: Convert to fraction form
    10,287.69/14,197.03 = 5,571.97/x
  3. Step 3: Cross multiply
    10,287.69x = 14,197.03 × 5,571.97
  4. Step 4: Simplify right side
    10,287.69x = 79,105,397.39
  5. Step 5: Solve for x
    x = 79,105,397.39/10,287.69
  6. Step 6: Final answer
    x = 7,689.33

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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.