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Finding the Fourth Proportional to 7,838.96, 11,759.04 and 3,396.92

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Solution

The fourth proportional to 7,838.96, 11,759.04 and 3,396.92 is: 5,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.96 : 11,759.04 = 3,396.92 : x
  2. Step 2: Convert to fraction form
    7,838.96/11,759.04 = 3,396.92/x
  3. Step 3: Cross multiply
    7,838.96x = 11,759.04 × 3,396.92
  4. Step 4: Simplify right side
    7,838.96x = 39,944,459.36
  5. Step 5: Solve for x
    x = 39,944,459.36/7,838.96
  6. Step 6: Final answer
    x = 5,095.64

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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.