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Finding the Fourth Proportional to 7,728.39, 11,592.28 and 5,381.62

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Solution

The fourth proportional to 7,728.39, 11,592.28 and 5,381.62 is: 8,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.39 : 11,592.28 = 5,381.62 : x
  2. Step 2: Convert to fraction form
    7,728.39/11,592.28 = 5,381.62/x
  3. Step 3: Cross multiply
    7,728.39x = 11,592.28 × 5,381.62
  4. Step 4: Simplify right side
    7,728.39x = 62,385,245.89
  5. Step 5: Solve for x
    x = 62,385,245.89/7,728.39
  6. Step 6: Final answer
    x = 8,072.22

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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.