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Finding the Fourth Proportional to 11,847.67, 16,349.75 and 7,132.21

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Solution

The fourth proportional to 11,847.67, 16,349.75 and 7,132.21 is: 9,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.67 : 16,349.75 = 7,132.21 : x
  2. Step 2: Convert to fraction form
    11,847.67/16,349.75 = 7,132.21/x
  3. Step 3: Cross multiply
    11,847.67x = 16,349.75 × 7,132.21
  4. Step 4: Simplify right side
    11,847.67x = 116,609,814.79
  5. Step 5: Solve for x
    x = 116,609,814.79/11,847.67
  6. Step 6: Final answer
    x = 9,842.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.