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Finding the Fourth Proportional to 7,735.39, 11,604.17 and 3,838.75

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Solution

The fourth proportional to 7,735.39, 11,604.17 and 3,838.75 is: 5,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.39 : 11,604.17 = 3,838.75 : x
  2. Step 2: Convert to fraction form
    7,735.39/11,604.17 = 3,838.75/x
  3. Step 3: Cross multiply
    7,735.39x = 11,604.17 × 3,838.75
  4. Step 4: Simplify right side
    7,735.39x = 44,545,488.39
  5. Step 5: Solve for x
    x = 44,545,488.39/7,735.39
  6. Step 6: Final answer
    x = 5,758.66

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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.