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Finding the Fourth Proportional to 7,991.53, 11,984.86 and 3,829.39

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Solution

The fourth proportional to 7,991.53, 11,984.86 and 3,829.39 is: 5,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.53 : 11,984.86 = 3,829.39 : x
  2. Step 2: Convert to fraction form
    7,991.53/11,984.86 = 3,829.39/x
  3. Step 3: Cross multiply
    7,991.53x = 11,984.86 × 3,829.39
  4. Step 4: Simplify right side
    7,991.53x = 45,894,703.04
  5. Step 5: Solve for x
    x = 45,894,703.04/7,991.53
  6. Step 6: Final answer
    x = 5,742.92

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