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Finding the Fourth Proportional to 7,154.97, 10,724.94 and 3,867.18

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Solution

The fourth proportional to 7,154.97, 10,724.94 and 3,867.18 is: 5,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.97 : 10,724.94 = 3,867.18 : x
  2. Step 2: Convert to fraction form
    7,154.97/10,724.94 = 3,867.18/x
  3. Step 3: Cross multiply
    7,154.97x = 10,724.94 × 3,867.18
  4. Step 4: Simplify right side
    7,154.97x = 41,475,273.47
  5. Step 5: Solve for x
    x = 41,475,273.47/7,154.97
  6. Step 6: Final answer
    x = 5,796.71

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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.