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Finding the Fourth Proportional to 7,711.78, 11,539.25 and 5,453.64

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Solution

The fourth proportional to 7,711.78, 11,539.25 and 5,453.64 is: 8,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.78 : 11,539.25 = 5,453.64 : x
  2. Step 2: Convert to fraction form
    7,711.78/11,539.25 = 5,453.64/x
  3. Step 3: Cross multiply
    7,711.78x = 11,539.25 × 5,453.64
  4. Step 4: Simplify right side
    7,711.78x = 62,930,915.37
  5. Step 5: Solve for x
    x = 62,930,915.37/7,711.78
  6. Step 6: Final answer
    x = 8,160.36

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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.