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Finding the Fourth Proportional to 8,611, 11,884.62 and 4,887.16

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Solution

The fourth proportional to 8,611, 11,884.62 and 4,887.16 is: 6,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611 : 11,884.62 = 4,887.16 : x
  2. Step 2: Convert to fraction form
    8,611/11,884.62 = 4,887.16/x
  3. Step 3: Cross multiply
    8,611x = 11,884.62 × 4,887.16
  4. Step 4: Simplify right side
    8,611x = 58,082,039.48
  5. Step 5: Solve for x
    x = 58,082,039.48/8,611
  6. Step 6: Final answer
    x = 6,745.10

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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.