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Finding the Fourth Proportional to 7,431.87, 11,147.82 and 1,885.22

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Solution

The fourth proportional to 7,431.87, 11,147.82 and 1,885.22 is: 2,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.87 : 11,147.82 = 1,885.22 : x
  2. Step 2: Convert to fraction form
    7,431.87/11,147.82 = 1,885.22/x
  3. Step 3: Cross multiply
    7,431.87x = 11,147.82 × 1,885.22
  4. Step 4: Simplify right side
    7,431.87x = 21,016,037.48
  5. Step 5: Solve for x
    x = 21,016,037.48/7,431.87
  6. Step 6: Final answer
    x = 2,827.83

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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.