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Finding the Fourth Proportional to 8,001.12, 11,984.64 and 3,834.96

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Solution

The fourth proportional to 8,001.12, 11,984.64 and 3,834.96 is: 5,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.12 : 11,984.64 = 3,834.96 : x
  2. Step 2: Convert to fraction form
    8,001.12/11,984.64 = 3,834.96/x
  3. Step 3: Cross multiply
    8,001.12x = 11,984.64 × 3,834.96
  4. Step 4: Simplify right side
    8,001.12x = 45,960,615.01
  5. Step 5: Solve for x
    x = 45,960,615.01/8,001.12
  6. Step 6: Final answer
    x = 5,744.27

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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.