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Finding the Fourth Proportional to 7,768.84, 10,716.41 and 5,497.62

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Solution

The fourth proportional to 7,768.84, 10,716.41 and 5,497.62 is: 7,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.84 : 10,716.41 = 5,497.62 : x
  2. Step 2: Convert to fraction form
    7,768.84/10,716.41 = 5,497.62/x
  3. Step 3: Cross multiply
    7,768.84x = 10,716.41 × 5,497.62
  4. Step 4: Simplify right side
    7,768.84x = 58,914,668.87
  5. Step 5: Solve for x
    x = 58,914,668.87/7,768.84
  6. Step 6: Final answer
    x = 7,583.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.