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Finding the Fourth Proportional to 7,849, 11,743.26 and 7,792.84

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Solution

The fourth proportional to 7,849, 11,743.26 and 7,792.84 is: 11,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 11,743.26 = 7,792.84 : x
  2. Step 2: Convert to fraction form
    7,849/11,743.26 = 7,792.84/x
  3. Step 3: Cross multiply
    7,849x = 11,743.26 × 7,792.84
  4. Step 4: Simplify right side
    7,849x = 91,513,346.26
  5. Step 5: Solve for x
    x = 91,513,346.26/7,849
  6. Step 6: Final answer
    x = 11,659.24

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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.