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Finding the Fourth Proportional to 7,797.67, 11,696.81 and 5,022

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Solution

The fourth proportional to 7,797.67, 11,696.81 and 5,022 is: 7,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.67 : 11,696.81 = 5,022 : x
  2. Step 2: Convert to fraction form
    7,797.67/11,696.81 = 5,022/x
  3. Step 3: Cross multiply
    7,797.67x = 11,696.81 × 5,022
  4. Step 4: Simplify right side
    7,797.67x = 58,741,354.71
  5. Step 5: Solve for x
    x = 58,741,354.71/7,797.67
  6. Step 6: Final answer
    x = 7,533.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.