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Finding the Fourth Proportional to 7,772.07, 10,729.73 and 5,787.37

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Solution

The fourth proportional to 7,772.07, 10,729.73 and 5,787.37 is: 7,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.07 : 10,729.73 = 5,787.37 : x
  2. Step 2: Convert to fraction form
    7,772.07/10,729.73 = 5,787.37/x
  3. Step 3: Cross multiply
    7,772.07x = 10,729.73 × 5,787.37
  4. Step 4: Simplify right side
    7,772.07x = 62,096,861.75
  5. Step 5: Solve for x
    x = 62,096,861.75/7,772.07
  6. Step 6: Final answer
    x = 7,989.75

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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.