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Finding the Fourth Proportional to 7,884.67, 11,817.27 and 4,374.52

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Solution

The fourth proportional to 7,884.67, 11,817.27 and 4,374.52 is: 6,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.67 : 11,817.27 = 4,374.52 : x
  2. Step 2: Convert to fraction form
    7,884.67/11,817.27 = 4,374.52/x
  3. Step 3: Cross multiply
    7,884.67x = 11,817.27 × 4,374.52
  4. Step 4: Simplify right side
    7,884.67x = 51,694,883.96
  5. Step 5: Solve for x
    x = 51,694,883.96/7,884.67
  6. Step 6: Final answer
    x = 6,556.38

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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.