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Finding the Fourth Proportional to 7,740.49, 11,604.78 and 3,841.87

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Solution

The fourth proportional to 7,740.49, 11,604.78 and 3,841.87 is: 5,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.49 : 11,604.78 = 3,841.87 : x
  2. Step 2: Convert to fraction form
    7,740.49/11,604.78 = 3,841.87/x
  3. Step 3: Cross multiply
    7,740.49x = 11,604.78 × 3,841.87
  4. Step 4: Simplify right side
    7,740.49x = 44,584,056.14
  5. Step 5: Solve for x
    x = 44,584,056.14/7,740.49
  6. Step 6: Final answer
    x = 5,759.85

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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.