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Finding the Fourth Proportional to 7,694.82, 10,618.81 and 4,158.02

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Solution

The fourth proportional to 7,694.82, 10,618.81 and 4,158.02 is: 5,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.82 : 10,618.81 = 4,158.02 : x
  2. Step 2: Convert to fraction form
    7,694.82/10,618.81 = 4,158.02/x
  3. Step 3: Cross multiply
    7,694.82x = 10,618.81 × 4,158.02
  4. Step 4: Simplify right side
    7,694.82x = 44,153,171.26
  5. Step 5: Solve for x
    x = 44,153,171.26/7,694.82
  6. Step 6: Final answer
    x = 5,738.04

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Why These Related Problems?

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