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Finding the Fourth Proportional to 7,882.89, 10,869.80 and 5,365.41

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Solution

The fourth proportional to 7,882.89, 10,869.80 and 5,365.41 is: 7,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.89 : 10,869.80 = 5,365.41 : x
  2. Step 2: Convert to fraction form
    7,882.89/10,869.80 = 5,365.41/x
  3. Step 3: Cross multiply
    7,882.89x = 10,869.80 × 5,365.41
  4. Step 4: Simplify right side
    7,882.89x = 58,320,906.79
  5. Step 5: Solve for x
    x = 58,320,906.79/7,882.89
  6. Step 6: Final answer
    x = 7,398.42

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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.