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Finding the Fourth Proportional to 7,694.88, 11,539.80 and 3,307.92

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Solution

The fourth proportional to 7,694.88, 11,539.80 and 3,307.92 is: 4,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.88 : 11,539.80 = 3,307.92 : x
  2. Step 2: Convert to fraction form
    7,694.88/11,539.80 = 3,307.92/x
  3. Step 3: Cross multiply
    7,694.88x = 11,539.80 × 3,307.92
  4. Step 4: Simplify right side
    7,694.88x = 38,172,735.22
  5. Step 5: Solve for x
    x = 38,172,735.22/7,694.88
  6. Step 6: Final answer
    x = 4,960.80

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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.