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Finding the Fourth Proportional to 7,829.97, 11,741.49 and 5,629.50

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Solution

The fourth proportional to 7,829.97, 11,741.49 and 5,629.50 is: 8,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.97 : 11,741.49 = 5,629.50 : x
  2. Step 2: Convert to fraction form
    7,829.97/11,741.49 = 5,629.50/x
  3. Step 3: Cross multiply
    7,829.97x = 11,741.49 × 5,629.50
  4. Step 4: Simplify right side
    7,829.97x = 66,098,717.96
  5. Step 5: Solve for x
    x = 66,098,717.96/7,829.97
  6. Step 6: Final answer
    x = 8,441.76

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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.