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Finding the Fourth Proportional to 7,861.54, 10,857.36 and 4,884.43

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Solution

The fourth proportional to 7,861.54, 10,857.36 and 4,884.43 is: 6,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.54 : 10,857.36 = 4,884.43 : x
  2. Step 2: Convert to fraction form
    7,861.54/10,857.36 = 4,884.43/x
  3. Step 3: Cross multiply
    7,861.54x = 10,857.36 × 4,884.43
  4. Step 4: Simplify right side
    7,861.54x = 53,032,014.90
  5. Step 5: Solve for x
    x = 53,032,014.90/7,861.54
  6. Step 6: Final answer
    x = 6,745.75

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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.