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Finding the Fourth Proportional to 7,884.89, 10,872.55 and 5,367.41

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Solution

The fourth proportional to 7,884.89, 10,872.55 and 5,367.41 is: 7,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.89 : 10,872.55 = 5,367.41 : x
  2. Step 2: Convert to fraction form
    7,884.89/10,872.55 = 5,367.41/x
  3. Step 3: Cross multiply
    7,884.89x = 10,872.55 × 5,367.41
  4. Step 4: Simplify right side
    7,884.89x = 58,357,433.60
  5. Step 5: Solve for x
    x = 58,357,433.60/7,884.89
  6. Step 6: Final answer
    x = 7,401.17

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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.