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Finding the Fourth Proportional to 7,883.78, 11,812.28 and 4,757.21

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Solution

The fourth proportional to 7,883.78, 11,812.28 and 4,757.21 is: 7,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.78 : 11,812.28 = 4,757.21 : x
  2. Step 2: Convert to fraction form
    7,883.78/11,812.28 = 4,757.21/x
  3. Step 3: Cross multiply
    7,883.78x = 11,812.28 × 4,757.21
  4. Step 4: Simplify right side
    7,883.78x = 56,193,517.97
  5. Step 5: Solve for x
    x = 56,193,517.97/7,883.78
  6. Step 6: Final answer
    x = 7,127.74

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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.